It's quite simple really.
Cold temperatures inactivate yeast - inactive yeast falls to the bottom of the vessel. This happens with or without gelatin.
Many yeast strains, when they stop actively fermenting, tend to clump together... Some are so prone to this they do it even when still active (like SO4) and they fall to the bottom and become inactive... Some have very little tendency to stick together and stay suspended for weeks or months even after they have fully fermented the wort. Like a kolsch strain. Although, given enough time, all the yeast will fall to the bottom no matter what.
The collagen in Gelatin has an electrical charge opposite to that of yeast - it attracts the yeast and causes the yeast to stick together more rapidly and into bigger clumps than it otherwise would... The bigger clumps fall faster.
None of these things are particularly interdependent. Cold, stops the yeast, thus the yeast will fall, it will fall faster with gelatin. But if the yeast has already stopped... Then the the cold doesn't do anything to the yeast that hasn't already happened. The yeast is already falling... Gelatin will make it fall faster.
Now if you are talking about chill stabilization.... That's a whole different ballgame. Shit comes out of solution at cold temperatures and falls to the bottom. Your beer becomes more stable, clearer at serving temperatures and probably tastes better. BUT... Gelatin has sod all effect on those particles and the OP's question was about gelatin not chill stabilization. As such, his plan to rack onto gelatin at 12degrees will work perfectly, his 1 week of cold conditioning will do in my opinion virtually bugger all and he may as well leave the keg at 12. But colder won't hurt...so whichever is easier. Just give the gelatin some time to do its job.
Gelatin will do its job at zero degrees, it will do its job (slightly faster) at 20 degrees too. Its just a matter of knowing what it is that gelatin does in the first place.
TB
Btw - the gelatin "setting" has nothing to do with the process. In fact if any of that happens at all, it is because you have made the gelatin too hot and denatured it's proteins... Which renders it ineffective as a yeast finings agent.