No, but humidity and dust does change... It's more like it's the holes to me than coil whine, I know what that sounds like.
As for the fans, you can't really separate the fans from the ventilation, they're all part of the same system
Most "whine" when they are new, when the holes are completely open. Some don't whine at all. We have plenty of measurements that PROVE that. Then some start "whining" after only a few days when the holes should still be clean and open. So did the holes change over a few days? And then some don't start whining until much later, when presumably some holes might be clogged with dust and the holes got smaller, or the "open holes" pattern changed. But the whine can't be caused by both bigger holes when they are new (but only sometimes) and smaller holes when they get plugged with dust (but only sometimes). Anyone fixed the whine by blowing dust out the holes? Not to my knowledge. Reports (unconfirmed) have also indicated that fundamental frequency of the whine can vary over short periods of time while in use (are the holes changing size over minutes?).
Covering some holes will change the load on the fans and therefore the power supply current, and that could possibly be enough to alter the "whine" from a power supply, or affect fan "squeal" if that were the cause (which I doubt from the sounds I've heard in recordings).
My money is on the high efficiency switching-mode power supply. It's not unusual to have noise artifacts due to high current switching related to subharmonics of the switching frequency, coil whine, or singing capacitors, all of which can vary with current changes in a switching power supply (changing fan speed etc). The "whine", which has a 2.2-2.6 kHz fundamental in the recordings I've heard, sounds to me more like piezoelectric singing from MLCC capacitors, but there are plenty of other causes in switching-mode power supplies, and there are at least two different power supply designs being used in both Studio models. Component tolerances, or design differences in the two (or more) power supply designs being shipped would account for the differences in the fundamental frequency of the "whine".
Switching the fans off varies the power supply current so just switching them off wouldn't necessarily prove its fans - but would prove it isn't the fans if whine exists with them switched off.
As I noted before, there have been very few reports of "whine" in this thread from Studio's purchased in the last 4 months (I believe 2 reports is all). Although not definitive of course, it appears that Apple has either done something to reduce the problem or its suppliers have. I doubt very much Apple has changed the holes in the case or that would have been reported by now. But it's logical to assume that one or both of the power supply designs have been altered over the last year, either significantly in the design or by changing marginal components values/sizes, or as simply as changing suppliers of components. (And of course the fans themselves could have been altered/changed if that were the problem - again I doubt that.)
Admittedly, I'm simply guessing from my own experiences designing products and the "whine" recordings and reports posted here. My Studio (now just over a year old) simply doesn't have the whine (as measured and posted here previously) so I don't have first hand knowledge of a "whining" Studio. But this would be a simple problem for Apple to diagnose. If the number of returned Studio's for this problem were significant they would have certainly taken some action with their suppliers by now, and it appears they may have.