I have the 69-S as well.
I have my trem set up as floating...I can pull up a minor third on the g string.
No tuning problems at all.
As funky stated, I can't see how it could be the posts.
The nut is self lubing, no string tee's, the bridge is designed to iliminate snag points.
I have 3 original trem strats that stay in tune as well but those need a little extra attention at various spots.
Can't see how the JT Variax wouldn't come back in tune with a wang on the bar.