The premises for my question are,
"If gravity isn't a force, how does it accelerate objects?" (complicated answer)
If the answer below, to the question linked above, is correct, I feel it's easier to understand:
Time is the result of causality -- to my understanding this means that something ages because of the interactions of its smaller parts, and at the speed of light for example, those interactions don't happen hence time doesn't pass.
So, a very cold object would move less through time (because its internal parts are moving slower, which means less causal interactions), and hence "feel less gravity".