I'll stick my head out to reiterate this, but I've had at least 20 guitars with FR1000 trems on them pass through my hands. They should not be a point of concern. Unless you're thinking of the Floyd Rose special (stay far far away from that).
Even EVH USAs use FR1000s. I would advise replacing the trem block with a big block (hit up Adam at FU-tone) regardless of a FRO or FR1000 if you're serious about a tone difference (much bigger difference from this than between the FR1000 and FRO...).
Even further than that, I actually prefer GOTOH 1996T bridges over FR1000s and FROs. I've used Pings and Schallers too, still prefer the GOTOH for some reason.
YMMV, but this is just my experience over the past few years with Floyd bridges.
Hafta agree with Pretty-much all of ^^^...this. The 1000’s are solid trems, the ‘Specials’ are something I tend to avoid or swap-out due to their zinc alloy blocks and saddles, and, true-enough, the Gotohs are frikkin’ awesome. I put Gotohs on all my own builds. ..just ..great trems!
Upgrading Floyd trems with brass blocks are a worthwhile mod. The big brass blocks might cause issue with fitting in some standard cavities though.
As for off-the-rack shredders. I bought a Washburn Parallaxe a while back, really nice guitar actually. Ltd make great guitars for the cash. Somebody mentioned and will second a used Hamer Californian, if you can find one.
Just picked-up a Charvel Pro-mod with the Floyd in the dark-amber - a really a nice guitar for the money. It has a really useable pickup, tone, and switching setup. For the cash, I’m really pleasantly surprised. Other than reversing the neck pickup, not had to mess with it at all.
Super Shredders are just not that hard to come by. And the quality of todays LTDs, Charvels, Jacksons etc., today, are better than the equivalent of the same guitars available in the same price bracket back in the 80’s - today’s soloists are as good as the 80’s Charvel Model 6 (for example (and IMO)).
..I would suggest heading into the city and grabbing a few off the rack at the local music superstore, because in the end, when it comes to shredding, it’s gonna come down to the neck profile, and in my experience, everybody’s hands prefer something different for that.