Replacing cells in laptop battery
It seems unlikely that your charge circuitry will have a limit charge capacity, most of the time it’s only some low and high cutoff voltages, charging current and temperature checks.

Anyway, you should try, if you are careful installing the cells there are no risks in doing it. Why there aren’t more 3200 mAh cells in laptops is a great question, for which I don’t have an answer but I don’t see why they would have significantly less cycles.