i got in on a fender standard strat and it tunes quite good. it is always a two strum tuning, since the low e-string interpheres with the h- and e-string. but it works quite fast.
you can set the tolerances of the tuning: less tolerance (higher aacuracy) means more time to tune... but the standard tuning tolerance setting is quite good. it is always a tiny bit off if you check with an additional tuner, but it's all in the range of 'finger pressure on string'-tolerances. you have to try it yourself.
the other thing is tuning stability which has much more to do with the ret of the guitar. since the tuners are locking tuners they are as good as they can get. on my strat you have additional friction on the h-/e- string retainer, the nut and the saddle. so yes, when doing a dive bomb using the standard tremolo the guitar get's out of tune. but i wouldn't see the tronical as the culprit.
the installation is fully reversible... so don't be anxious that you'll ruin your vintage guitar.