So if I strum as hard as I would ever play, with my action at 2.25mm and it doesn't cause buzzing, then raising action to 3.0 will make it louder and lowering to 1.75 will make it less loud even if it doesn't buzz? I don't understand the physics if so
Frankly, if 1.75mm works for you then why worry?
The volume is directly proportional to the amount of energy (which means amplitude) you pluck the string. The uke's nylon strings have much less tension than an acoustic guitar's steel strings, so they need more room to vibrate (i.e. an equal amount of energy would mean a much greater amplitude than the steel strings). This is why, the uke's action must be high (much higher than an acoustic guitar) to get good dynamic range (think of true fortissmo and pianissimo).
As many have pointed out in this thread: the string height at the nut is actually more important than the action height at 12th especially for the uke because much of the time is spent in the lower frets. This is where you should check; and it's why I mentioned that you should also measure your action with the string fretted at the 1st fret. You might just discover why you have ukes that plays well and some that, as you put it, "horrible". It might not actually be simply the action height at the 12th.
All my ukes and guitars play extremely well. In fact, my guitar teacher even mentioned how easy my guitars are to play. I've gone thru the trouble of learning about setups and put in the time to personally setting them up. It isn't that difficult; but you need to know some basics (like what people in this thread are trying to tell you). Once you learn it, you might be able to make all your instruments play well too.