Back in my younger days learning that solo we all did the chromatic walk down on a hardtail guitar and used the trem on a guitar that had it. One thing though is that when using vintage trems vs. floyds is unless you use a real subtle touch when using a floyd sometimes you can tell which trem it is. Usually a vintage trem is not as soft in the touch compared to a floyd, and a lot of players tend to have a harder time with finessing it. Doesnt apply to every player obviously, but sometimes you can tell.
Also SOME of Randys leads were triple tracked.. not just doubled, and yes, there were different notes and unison bends that werent 100 percent together giving it a nice natural chorus effect. It was because of Randy for years I would only double or triple my leads. That was tough when improvising (LOL) but it absolutely made me a sharper lead player.