Look at it this way, Nick, the greater the volume of air inside the bellows, smaller movements of them push more air out of them and given that the sounding of the reed needs a certain amount of air to pass through regardless of the size of the accordion, just a smaller push or pull on bigger bellow will provide that amount. The pressure required will be the same, the weight of the bellows and bass end can be used, if needed, to assist in providing that force.
In my very recent acquaintance with the accordion, and acquisition of a very hefty box, I find it easier to control the air on that big one than on the smaller box.
I have very carefully read all the advice by as many competent teachers as I have been able to access and watched attentively very many videos by the best players on the 'tubes' to learn how to make the best of that simple physics.