Right, Geddy would sound like Geddy on your Rig if its similar to your rig. Hand geddy a Hofner, and it will sound like a guy playing really good Geddy covers on a Hofner. Its silly to argue that the gear makes no difference when it so easily manifests itself every time i walk into a guitar store. If i play the same lick on two radically different basses, they DO NOT sound the same. If I pick up two identical Fender Jazz basses, they are likely to sound the same under my fingers, as they would for most players. No amount of finesse in the artful application of PB is going to make it taste like J.
Geddy playing a hofner would sound like Geddy playing a hofner. The tone may be shaped differently, he may play a little differently if the instrument inspires him, but it's still Geddy. Despite the saying including the word "tone", what is really being said is the musician makes the instrument work for him. A talented musician will most likely sound good whether he's playing a $20 bass or a $10000 bass. Notice I'm not saying sound "the same". I'm saying he'll pick up my gear and still sound good.