No, they don't worry me at all - insignificant - but yes, switch them off while not tuning or you'll run your battery down as well as piss off those that don't like 'em.

But what does really annoy me beyond belief is so-alled professional performers who have electronic tuners attached but don't actually use them and then spend valuable quarter hours unsuccessfully tuning by ear - recent painful experience - I'll name no names - still ending up with badly tuned guitar, or giving up completely, ditching the guitar, and singing a cappella. Do they actually know how to USE a tuner?
And that in a set that can only last 55 minutes by order of the management - so we've paid to hear you not tuning your guitar properly for at least a quarter of the time there! RANT, RANT, RANT!!