Thats precisely what my guitarist says.
If Clapton picked up his PRS Gold Top, it would still sound like Clapton.
I'm not convinced though, When I had the 'Wick, sure - the chops and licks were mine, and they sounded like me, like I had always sounded - and that wasn't what I wanted to sound like.
With the Clements, I play the same stuff, with the same amps and FX - but I now sound like I want to and I have more versatility in what I play and how I play.
It would be very interesting to experiment as you suggest Mr Walker - but possibly not practical.
I do wonder how feasible it would be for you to provide your original recording (with appropriate notes, keys and scales) and possibly a bass-less backing track and see what other members do with it - sort of Chinese Whispers with Clement Basses!
Or perhaps a slightly different experiment -
Supply a track of Drums, Guitars , Keys (and whatever else) but NO BASS. Make it available for the Club Clement-ers to add in the Bass line(s) and publish for all to hear how the same start ends up - and how different or similar it is!
I'm game fo' Sho'!