Do not get a wine fridge. They often have peltier coolers, which are terribly inefficient. In addition they generally only get down to about 40F. Plus you'd really want to up the insulation a lot (a glass door, not so well insulated). They are designed to keep wine around 50F or so.
I mean, if you could get one for FREE, maybe. But since you could probably score a 3.6-4.5cu-ft dorm fridge for $30-70 of Craigslist, I'd just go that route.
Oh, for your initial question, this is why I use dorm fridges. You cannot be sure it is keep in the beer at the right temp. Now if you are brewing a 10 gallon batch of something, sure that is more than fine to throw it in the same cooling vessel as the temp between the two carboys should be very, very similar. If you are brewing something different, the temps are likely to very, either because of yeast activity or because the different strains of yeast need vastly different temperature requirements.
I occasionally will throw two 3 gallon carboys in my larger minifridge. However, when I do, I am generally splitting a batch to test something out, but they are brewed at the same time and likely have pretty similar requirements (two English Ale yeasts). On rare occasions I'll brew two different batches on different days and use the one fridge if the other one is full. But I'll generally brew them far enough apart (at least 3-4 days) where it might not be as big of a deal. Example, I brewed a Schwarzbier on a Saturday and then on Tuesday I brewed an English Pale Lager, but used the same German Lager yeast and I just moved the temp probe from the SB to the EPL when I stuck it in there. They both turned out great, but I was also fermenting near the middle of the temp range, so when the EPL was really active, it probably made the SB a couple of degrees cooler than it "should have been". I had it set at 50F, but if I were to guess, the SB probably got pushed down to 48-49F while the EPL was super active in fermentation.
Fortunately Lagers tend not to ferment as fast, therefore don't throw off as much heat.
I've seen ales push temps up by an easy 4-5F above ambient during super active fermentation, but it looks like lagers are more like 2 or maybe 3F (and the SB was still fermenting, so it would have been putting out a small amount of heat, even when the EPL was putting out a lot more).
I do a lot of carboy rotation though. Like right now I pulled the Pumpkin ale out, to throw a Hefe in, then I just pulled the Hefe out to put the Stout in. I'll use the other minifridge to cold crash the Pumpkin ale so I can bottle it this weekend. Then I'll pull that out to put the Hefe in to warm it up to about 72F for a day or two before I cold crash it and bottle that. Once that is done the Stout will probably be ready to warm up to 72F for a day or two and then cold crash and bottle it.
My basement isn't quite warm enough yet to maintain 72F without my heater in the fridge (~69F).
It was a real "joy" when I had 5 beers going all within 8 days of each other. A couple did the "ferment at ambient" game, but fortunately my basement was cooler than (67F, 64F on the slab).