Assuming you meant heat and not hear. Upgrading your cooling should not lower the total heat output of your PC (it’s more likely to increase it). The only exception is if you somehow send the heat out of the room, but that would be a crazy complicated setup. Your PC always turn the same amount of electric energy into heat energy and dissipate it in the room. if it’s more efficient it will cool down the components more, possibly giving them the opportunity to increase frequency further, which increase the power draw, which is turn into more heat that is dissipated in the room.

How would that work? Your PC still generates the same amount of heat. If anything, better cooling would allow your setup to dissipate even more heat.