What determines how many amps an alternator puts out? Is it the actual stator/rectifier assembly or something in the voltage regulator?

The reason I ask is because there is a higher amp alternator for my Civic that I'd like to swap in, the only difference being the number of pins in the plug (1 extra). It looks like the same regulator assembly for both, so could I just swap the voltage regulator assembly and have it work?

In case it isn't completely obvious, I know little to nothing on the subject.

Here is what I have, and what I'd like to swap in. (Napa may ask you to pick a store, but the alts will show after you do)