Bottom line, if everything else in your brew day has stayed the same, and you are pitching the same strain of yeast in the same quantity that you always have... the change in yeast behavior is due to the Freezer.
I suspect between the more robust design of the freezer... possibly fans blowing where your wine refirgerator may have only had a plate, larger compressor allowing the coolant to get down to 10F instead of 30F... Carboy resting on the floor of the freezer and there being cooling coils in the floor of the freezer... are causing larger temperature swings along the outer layer of your carboy when the freezer is cycleing than it experianced in the wine fridge..
I know my wine fridge can only get down to 40F because the plate in the fridge where the refrigerent flows only gets down to 30F. (In the HVAC world the general expectation is that you can only get the air to within 10-12F of the temperature of the cooling coil) I also know this becuase I wired it to run non stop for 4 hours and the lowest temp it got was 38F. I suspect your wine setup to be about the same.
Regardless, yeast do not like to see things get cold quickly. If you drop their temp more than a couple degrees in an hour, they are shocked into hibernation mode, and go to sleep and thow on a few extra protective layers of protein to keep warm.
What I would try next is to elevate the carboy off of the floor of the freezer using blocks of wood. Also, if the freezer "blows" cold air, you may try and divert the blowing air so that it does not blow directly on the carboy. The next step, if the issue if the freezer coils get colder then the ones in the wine cooler... make a metal box around the carboy...or a plactic bucket around the carboy would work too.. (I like the metal better because it conducts heat better) keeping the carboy from touching the sides or bottom of this box. This will create a chamber that act more like your wine cooler did with the cool covnecting from the walls of this box, at probably 10F or so warmer than the rest of the fridge.
Hope this helps!!