Easy way to find out is play an ES-335 / Gretsch hollow type guitar, then remove the electronics and play it again.
335 has a center block. I have a feeling that will negate the effect.
Ok, ES-330 / Casino / Gretsch hollow then
A long time ago I installed a sound-hole pup to an acoustic and put a volume pot and a tone pot on the sound board. I didn't notice any difference in tone at all. A few years ago I removed the pup and pots leaving the two holes in the soundboard. I didn't notice any difference in tone at all.
Was there actually a difference? Enough to be measured by some sensitive equipment? Maybe. I don't know. And I don't care because I couldn't hear any difference, and that's what matters.
I added a preamp to my Epiphone Hummingbird Artist model
simple enough no need to put knobs on the soundboard
My J45 and my D18 both have controls in the center sound hole and no other holes in the soundboard. I really like the fact they're so unobtrusive and easily accessible
The plugged in sound has a lot to do with the limitations of typical piezo systems, and less-than-full-range amplification systems.
I would have to take an acoustic guitar, play it in a quite room, then install pots & knobs, and repeal the experiment. Would I hear a difference? Would I remember what the non-holed version sounded like?
Acoustic instrument builders are pretty crazy about their bracing patterns, believing that any alteration in the soundboard can affect the tone. I don't have that kind of fidelity in my hearing, though.