For reasons I don't understand, the intonation of an electric guitar seems to be more critical than on an acoustic. Fortunately, the bridges are usually equipped with individually adjustable saddles. A tremolo bar introduces a whole new set of problems with tuning accuracy, due to string 'creep' past the nut and the bridge saddles.

Once it is properly set up, an electric guitar should be easy to tune, and it should stay in tune. Of course, players who indulge in 'dive bomb' whammy stunts will severly test those criteria. My electric guitars are all non-tremolo types. They are all easy to tune accurately, and they stay in tune for weeks at a time. Unfortunately, a lot of shops do not invest the time and money in proper setup of their guitars. The first thing a new guitar should get, is trip to a competant guitar tech or luthier, for a thorough checkup.

As an experienced player, you should have a pretty good idea what to look for, and what to avoid, in selecting a good instrument. There are a lot of threads here on that very subject. If you still need some advice after digging through the archives, just post again. Everyone here has opinions to offer.