A slight correction to the AS part:

Going into, and coming out is a totally different story.
But with sufficient knowledge, a liking in Statistics and strong interest Mathematical Finance,
makes things easier, except alot of reading/research must be done to get hold of the ways these models are
applied within Business context.

That would depend on the proposed course structure which differs from each school.
Of course, flexibility trades off exposure as well.
Having courses taught by engineering practitioners and learning by self-study
can give very different outcomes.
But of course, the rate of input for each person is distinct as well, which may explain why someone would see certain option more beneficial than others, while
the complement case is possible as well.

Rather than going to weird ends where disagreeing on something I didn't even agreed upon.
Let me get my facts right:

1) A mathematic degree has its own uniqueness, as we know no matter which field one is to emerge into, mathematic is an esseintial tool to make things work

2) My analogy is simply direct:
A specialist degree is best taught by the specialist itself.
The depth of coverage is distinct from each school, whether they would touch into more conceptual details, depend on the course structures.

3) depending on local economy demands, and sustainability, it is a fact that certain degree is not so well promoted than others in a society. people react to incentive, and with asymmetrical information provided, choices are distorted. It is nothing to do with right or wrong, but the fact what specific field the economy is focussing on, will be the movement of choices.

4) As we know, in a career both Practical experience, technical skills and knowledge is equally important. I wouldnt argue to rank these factors by priority in general. but for each distinct job/career, the proportion of these factors varies accordingly. Similarly saying, there is a difference between academic-oriented jobs and practical-oriented jobs.

5) I am in no way discouraging juniors to take on mathematic or general degrees, but to imply that, "If you want to be a specialist,
do consider taking a specialist degree than a general degree" as it gives u the relevant exposure, training and knowledge to work in that particular
specialized field.
e.g. A mathematic degree holder can always do a masters in Engineering to become a qualified engineer. but think again for those that HAD decided to become an engineer, since u decided to become an engineer, why not take a 4yrs engineering degree program instead?

6) to be clear, my argument is centred on comparative advantage which explains with this scienario, relevant exposure A may be preferred than B. But in no way to imply A will always be better than B for each case. To acknowledge each field of study is unique, and the way everyone make decision is unique as well.

Lol. there is no assurance in a Mathematical pathway. Unless going and spending the rest of your life Teaching, writing books, or researching. math alone cant bring you far.
Even if you look closely at Nobel awards, there's no award in mathematics, because math alone is not useful, but if you want to prove its ability, you will have to prove and explain how such theorem contributes to
realistic/real-life application, which explains why Mathematicians can win awards in Economics, Sciences, Astronomy, Finance etc.

Having said that, you will probably like to look at math, a different way. It will be more like a tool to use, than a field of study.
Of course in a Math degree, you learn things in Fundamental theorems, proof, and arguments. Having learnt these root of thoughts, this is what help u understand
the mathematical nature of many sciences, economics, dimensions.

It is nearly ab impossible task to single-out careers without Math in it. We use math so often that we sometimes dont realise whether such analysis/idea fall within the mathematical boundary.
It is just the weightage of math that counts in different career fields.

Like how I said many times before, its more on Which type of math do you like, than whether do you like math.
But of course everyone approaches a matter with different thoughts & methods, it will be highly reasonable for everyone to like different type of math.
hence, there's no assurance, the assurance is your own ability to utilise what u learn in Uni.

No one nor I, am implying that Mathematics by itself is totally useless. but to address the fact that Mathematic as a tool, is best utilized when working with another discipline. Nor am I gonna emphasis or do any research regarding what type of award mathmaticians can win, I am highlighting a social fact that there are fields where there's a high concentration of Mathematical element in it, but most of us did not realise its application, and how it relates to Math.

I believe the very big difference between a Math degree and a science,economics, finance, accounting degree is the distinction between theoretical and practical approach.

Speaking from experience,
I have seen how math students comment about the lack of Math in Accounting related subjects, which I highlighted to them "theories of Set, Sample Space,progressions" is basically what that works behind
the logic to do Consolidations, elimination and the nature of Dual Balance.

In terms of teaching as well,
within the actuarial framework, the approach of lecturers from Mathematical backgrounds, those with industrial-exposure and those who are statisticians, although all provide teachings regarding the same actuarial
mathematics, but their approach can greatly differ. Some may do more "proving" in class, some tells you to stick to the formula and learn elements of the formula how it relates to practicality, some always
adapt a root principal and build things up from there. Of course in particular, they are not ranked in anyway, but to understand there's pros and con's in each method.

Having privately consulted by few juniors re: AS itself, I am kinda worried the understanding of Math to youngsters nowadays (particular those that just completed SPM,STPM), it had became too arithmetic based.
Many times, one often self-induce that I am good in counting, good with numbers, fast with numbers, hence I am good in Math. My primary concern is students should diversify their understanding towards mathematics. And realise how Math is equally applied practically in a variety of studies. I am in no way trying to disprove the theoretical approach of Mathematics, I am just trying to remind future students do keep an open mind in choosing courses, there's a variety of courses that need people with good mathematical skills, at the same time, one have to be sure what he/she wants to achieve with a Math degree and whether this pathway can provide you your expectation, according to individual interest.

Nothing oversensitive, just for them to keep an open-mind.