I play as much and as professionally as anyone and I never worry about it at all. I make sure I keep fresh strings on my gits so old strings aren't a factor. I do take a moment to check my tuning at various points on the neck but close enough is close enough except for recording. For recording I tend to tune my git on chords that I'm playing a lot for that particular track.
But live .... meh, it's far more about what I play than anything else.
As a piano tuner I certainly am aware of the tuning limitations of standard gits but it doesn't really bother me ..... it's just part of the instrument.
Just like sax ..... on sax virtually every note is out of tune unless you 'lip' it into tune. That's why so many sax players play out of tune. And it varies from sax to sax.
Just how it is *shrugs*
As for the well tempered frets ..... I don't see how they wouldn't affect bends.
If you're bending across a fret and you get to a spot where it has a radical bend ..... then you're suddenly gonna get a 'jump' in pitch. You could get used to it I suppose but, as I said, normal gits work well enough.
If you know the secret codes you can get by the mastering boss on level 8.