If your employment letter says 1mth notice, then you should serve 1mth notice. Don't care what the boss or whoever admin, manager, etc, say in your company. You know the reason why they ask you to give resignation letter for 2 weeks notice is that they will spin around and ask you to pay 1mth in lieu of for notice. My boss also has the tendency to do things like that also. But always, ALWAYS follow what your offer letter say, as that's already black and white.

If you don't agree to it, they can't make you do anything. It goes both ways.

My current company has no buyout period (or similar clause). I mean sure my HR did talk to me if I wish to shorten my resignation period, I can. The issue is not the HR.. My company is more of a boss's problem. He can ask HR to tell the employee like this regarding the resignation period. But when the employee agreed to it, the boss will flip 180deg and say "I never said that". There aren't even an agreement in the first place lol..

That's why I strongly believe that no matter how much you don't like your company, the rules are rules. You break it, your boss can turn into a psychopath and start doing a lot of things to hantam you lol.