They've been making essentially the same guitars for the past 60 years without much modifications. That's usually why you won't see a Floyd Rose on a Strat unless it's a Dave Murray Strat (or something bought in the 80's where they installed Floyds on nearly everything).
Do stratocasters have floating tremolos?
Strat trems can be setup to be floating, but the gold standard of floating vibrato systems is the Floyd Rose. These sophisticated tremolos feature the most components, and allow the player to do all sorts of crazy pitch bends up or down, generally with rock solid tuning stability.
Are Floyd Rose tremolos worth it?
Advantages of a Floyd Rose Tremolo
It works really, really well. Set up correctly, a guitar with a Floyd can take a huge amount of abuse without going out of tune. ... They don't need anything more than simple vibrato, but the extra insurance when it comes to tuning stability is worth it.
Should I avoid Floyd Rose?
The next reason I think you should avoid a Floyd Rose guitar for your very first electric guitar is because of the learning curve. ... But most guitars, especially fixed bridge guitars, can be put into an open tuning or a drop tuning with minimal problems. With a Floyd Rose bridge, the guitar might be basically unplayable.