"Stochastic" means "random, not supported by facts, hypothetical" in every context in which it is used, across many fields.

The real problem is that anyone thought that they could pull factual material out of a giant language correlation network.

The temperature parameter selects randomly (more or less random/predictable depending on value) from different distributions(stochastic sampling)

Not contradicting you, but wanted to add it. I was reading about it today.

stochastic screening in printing (as opposed to halftoning) samples constrained random color points from a real/actual image

the uses of stochastic i've seen 'in the wild' have nothing to do with 2/3 of that definition

If people in the ML community don't know what stochastic means then how can they communicate with each other? Precision in communication in such contentious areas seems to me to be of paramount importance, especially when speaking to people not in ones immediate circle.

It’s also a misleading anthropomorphization that can get across the wrong message - in particular among those who don’t know what “stocastic” means but also among those who should know better.