How does panic work these days?

I feel like I’m missing something about panic.

I understood it was supposed to last two turns: on the first turn they run away, and on the next one they recover. However, I’m getting inconsistent results. Sometimes that sequence happens, but other times they move and recover in the same turn, which shouldn’t be possible to begin with.

I’m not sure what to make of it. Is it just random? Does something determine which one will happen?