I find the mount, whether two or six, is not related to tuning at all. There are two point systems made out of cheap metal where the blade of the bridge wears and it affects the position and stability of the bridge system as a whole. A six point system (traditional Fender) can stay in tune fine if the saddles are set up right and the nut is cut right and the string is wrapped/tied/set in the tuning post correctly/well. EVH did their first album with a normal Fender-style bridge on his vibrato guitar. He 'abused' it and it returned to zero and sounded in tune just fine.
So one guy on the whole internet says something, and you just believe him?
I've been doing this for 45 years, and there is no hard and fast rule for anything having to do with guitar. It depends on the condition of the instrument, how well it was setup, and how the player uses it. Almost anything can be made to work well.
Never forget - the first 3 Van Halen albums were recorded before the Floyd Rose ever existed.
I don't think Eddie was using them yet but the Floyd Rose existed and was already a known thing in '78.
I got my first one in early '79; Floyd was still making them himself at that point but the patent was already pending.
Speaking of which, I knew there'd been a patent lawsuit over the Kahler but didn't realize Rose won a judgement of more than $100 million!
How did I never hear about that? Of course there was no Internet yet. Plus I was gigging six and seven nights a week at the time...
Still, you'd think I would've encountered that factlet at some point over the decades since.
Not sure exactly when Eddie began using Floyds - some know his gear in great detail year to year, while I'm no expert on the subject.
Still, when it comes to EVH there's a lot of questionable info on the Web - even some of Eddie's own comments aren't trustworthy.
He could be secretive and also seems to have indulged in a bit of mythmaking at times.
Anyway, I'd be surprised if it's confirmed that he never used a Floyd until the fourth album.
Not saying it can't be so - just that to me it doesn't seem likely.