Same rules apply. Consciousness is just something the material brain does. It is part of the natural world and not separate from it.
DoFP and EoT are ok and good because theyre fiction, they are internally consistent which is good. I just laud Terminator 1 and Interstellar for doing things exactly right.
The difference between X-Men: DoFP and EoT compared to Terminator and Back to the Future is that the former two utilize more magical-fantasy elements to manipulate time. EoT had magical alien blood and the extent of Kitty's power is a mystery, whereas Terminator and Back to the Future are more based in science, presumably.

