TS,
Assuming there r 2 setups with just either high-low profile tyres (same brand n model) or bigger rim + bigger/fatter/lower profile tyre setup being d variables:

High - low profile tyres
Basically d taller d tyre wall, d more tendency it is to flex. Then there is d higher centre of gravity when u take corners, like comparing cornering of a sports car againt a bus. But higher profile tyres = more air = more cushioning = more comfort.

Bigger rim
If u've lifted light weight rims before I'm sure u wont say bigger rims = more weight. There's plenty of light weight rims (branded or Taiwan or even Korean) or just simply plain alloys tat r much lighter than standard rims. How good r they is like imagining u having 2 sets of shoes: 1 light (Japs slippers) d other heavy (safety boots). Which will need d least effort to move about? Of course there r also 'display only' rims tat r merely for looks probably due to cost reasons.

But even with a balanced light rim + low profile tyre combination, d driving improvement may not be significant enough to be felt as there r other factors tat weigh in.