So many of the problems in STID that Kirk and Scott had with the change in gravity on their way to the warp core could have been solved if they could have just gotten into a turbolift.
I'm pretty sure those lifts work on electricity.
Your point? Lots of electrical systems still worked on the ship. Which ones were out was a function of plot and dramatic necessity, more than any plausible sense of how to wire up a starship. That's just par for the course in Star Trek