Too many is relative...the broader question is whether someone knows how they will react when compared to another since, during competition, you have to be able to make an equipment change and know what the new piece is going to do.
I couldn't tell you just how many I have, but I have many going back into the Roto RH of the 70's (and basically stopping with the loss of our Tour in 2003). It was mostly the Roto equipment that went on the road with me, but I also knew the relationships between the Storm, Columbia and Faball pieces in the collection for the rare occasions it went on the road (or if I got bored and wanted to do something different with league).