Okay, I'm here to offer a counter opinion.
Let me begin by saying that I am a heavy trem user. I will also state that I refuse to play anything that's Floyd Rose equipped save for a JEM because I love the JEM neck. I'm not a fan of Floyds, there's just so much of a hassle to set it up. Also, I play in drop and open tunings a lot, particularly dropping the low E to D, and not because I'm a metal player (I'm not), but because of the influence Indian music has had on me, I play a lot of stuff in D lydian. If I were to do this on a Floyd, everything would be out of whack, and I'd spend maybe ten minutes simply on tuning. Sure, a great setup can do wonders, but why deal with it when you can avoid it?
Divebombs are fun. Let me tell you right now, I do them on my vintage trem-equipped Strat all the time. Sure, there are some tuning problems, but those are VERY easily avoidable; my trem system is a Mexican system, hence not very stable. If you really want stability, get some locking tuners (Sperzels are good) and a decent bridge, and an LSR roller nut if you want. Jeff Beck does flutters all the time on his signiature stratocaster, and all he's got is a Fender 2-point bridge, an LSR roller nut, and Sperzels. Playing his signiature strat is awesome, but that's another point.
Check out this vid, it's an awesome song, but he also uses a decent bit of whammy, even some flutters at around 1:40 or so to 2:09- http://youtube.com/watch?v=F1hijzkOrnk
Again, I don't find Floyds appealing. Nowadays, I'm starting to see the Floyd as unnecessary, and many Floyd players (not all; don't everyone take offense to this) that are using Floyds seem like leftovers from the 80s trying to recapture their glory. Vintage trems or hardtails are the way to go man. Again, as you said above, EJ's strat's got locking tuners, that's really all you need. Stay away from the hassle, stick to vintage trems.
Just my two cents.