My Performer Strat's trem bridge came from factory floating beautifully, so I did not change it. Works perfect for me, feels awesome, and stays in tune well. Hyper Slinky strings.
My 50s Classic Vibe "Mary Kaye" approximation came with the claw/springs fully tense, so the bridge acted as a hardtail. I immediately spent the labor of love setting it up as I preferred, and it now floats as it should (again, just my preference.)
I feel that, unless you have a very loose springs setup, there is no problem with a floating tremolo system. You adapt your playing to it, no need to have such a heavy right hand (IME). I do have two other guitars without tremolo, but I do find the oft-disliked invention quite musically useful, and you can make it so it stays in tune exceedingly well. No need to dread its use (yes, I know myriads of great players block it-I just enjoy it.)