Closest I can explain is mobile applications have to be written to understand "pause" and "resume", and the application is running from "resume" to "pause".
Your typical linux application does not. It expects to be "started" and "stopped", and running the whole time in-between.
I think I don't understand the way you're using this word.
Are you talking about wake-locks? Linux has opportunistic sleep/suspend and mechanisms for controlling that.