The tie has latent evidence like titanium, stuff from medication packing, match particles and other metals. So the tie didn't belong to a busboy who was milling pure titanium in the late 1960's. The tie's original owner wasn't a bartender. I don't think the tie picked up spiral titanium particles sitting in evidence. I guess it depends on how much faith you have in Tom Kaye, but his analysis is important. If he's right about the scarcity of pure titanium, then the tie has a big story to tell, not a small one.
To me, Kaye's evidence makes sense. If the guy was working in a shop machining parts from pure titanium, the owner would want a clip-on tie that wouldn't kill him if it got caught in a lathe.
If Cooper bought the tie at an estate sale, that still puts Cooper in one of a few regions where they had shops likes this.