The thing is, about 74.5% of Trek plots would simply be gone if our heroes couldn't see what was happening around them in real time. No deviating from course to examine an odd reading, a shipwreck, a planet that didn't exist two days ago. No way to track a fugitive. No chance to stop an invader. And no way to contact home base for interesting new assignments (unless one postulated a system that can be used for realtime communications but not for realtime sensing, which would exhaust the salt deposits of Utah).
Nearly everything about Trek's futuro-tech is "dependent on plot needs" anyway, including warp drive, Starfleet regulations, Federation political and economical structure, interstellar alliances and animosities, and the biology of the heroes and villains. There's no inherent downside to that. All it takes is a bit of bookkeeping.