Cliff, iirc your R6 had a slightly different front tyre profile to to all the other 600's when it was new. Mine use to feel quite odd when the front started to square off, I think anything would make the front feel better, I doubt it's down to the Bridgestones specifically.

I've never really rated Dunlops... except the ones on my racebikes, but then thats because there's only Dunlop and Avon makes race compound tyres in 18 inch sizes.