People definitely think about it RE mobile apps and battery life. As well as just leaving electronics on all day vs at least sleeping them. But yea purely for energy cost of using apps, that’s pretty fringe.
I know at least one clear counterexample for mobile: MetaMask, a widely used crypto wallet app, noticeably drains battery while it's in use. Usually down 3% within a minute of opening, and it's been like that for a while.