I've done all the testing till I'm black and blue.
I have tested the Hoosier A6 205/45-16, 225/50-16 and the 245/45-16.
All on a 16x6.5" wheel. The way a GTS is geared, the best tire is the 205/45-16 is the best tire. The 225/50-16 and the 245/45-16 were comparable in times but the 205/45-16 was about a second faster.
So far the only guys posting here who have made any sense and actually know what they're are talking about is ConeHugger and Renfield90.
SoloRT, there's a lot more factors going to into your logic than you have explained.
Yes, the ITR guys used 275/35-15s but they have also told me that they go just as fast on 225/45-15s just that the 275s offer better heat management with two drivers but if there's just one driver, they typically prefer to do the 225s.
All cars have different designs and different philosophies surrounding their setup, hence each car will react differently to different changes. I have three sizes as I followed contemporary wisdom but have found this out after doing back to back testing at a test and tune session.
If he's running a GTS, I'd recommend getting a set of 15s as the 15s would weigh less than the 16s and getting a set of Hoosier 205/50-15.
If you're going to run the 16s, get a set of 205/45-16.
If you're going to insist on buying V710s, get either a 205/50-15 if you're getting 15s rims or get a 215/40-16 for the 16s.