What you're asking is 'what happens when I change the ratio of top area to body volume', if I understand you correctly. The answers to that are, as usual, a bit complicated if you dig deeply, but can be broken down a bit to aid in understanding.
First, a little physics. Most of the output of the guitar is produced by the 'bass reflex couple' between the top and the inside air. Changing things like the air volume alters the parameters of this couple, and can give some results you might not expect. The usual way the physics guys deal with this sort of thing is the isolate variables; changing one thing at a time to see what happens.
So, suppose you start with a 'standard' design and make the sides really deep. Fred Dickens did that once with a classical guitar, making it initially with 6" deep sides, iirc, but everything else the same as usual. It turned out the the pitch of the 'main air' resonance was just a little lower than 'normal'. You'd expect it to be much lower, with the extra body volume and relatively small hole. However, the depth of the box changed the way the couple worked: for a given motion of the top there was less pressure change in the body to resist rhe top motion, so the couple was weaker. What happens in these cases, and I've seen it too, is that the 'air' resonance pitch tends to stay the same, but the 'top' resonance pitch can drop.
Fred actually cut the sides down progressively to about 3" deep, or even less, and found that the 'air' resonant pitch only rose by about a semitone or a little more. He didn't comment on the timbre, but I'd expect it to be more 'forward' or 'cutting' as you made the body more shallow.
The reason for the change in timbre is that the 'bandwidth' of the resonances changes, becoming more narrow as the side height is reduced. This makes the output 'peakier', with more of a chance of having 'strong' and 'weak' notes or overtones. If there are only a few resonances in an octave this might make the sound 'uneven', but if there are a lot of peaks it just makes it 'interesting' or 'colorful'.
Obviously, as you make the sides deeper, the bandwidth of the resonances spreads out, and the peaks themselves also tend to be lower. The whole response is 'flatter'.
The opposite set of generalizations holds too: making the top bigger for a given side height is like making the sides shallower for a given outline. The bigger the top is the more 'bass balanced' the sound is likely to be, and it may actually be nmore difficult to make the guitar sound 'loud'.
As usual, you're loking for some sort of balance between 'attack' and 'sustain', 'bass' and 'treble', 'even' and interesting' timbre, and so on. The safe thing to do is stay somewhere in the range of instruments you like in the various design choices, but that still leaves you a heck of a lot of leeway.
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