I have now installed a 32mm GP 5000 TL on the front of my V20 and still have 2mm clearance at its closest point. I installed it on the front because I believe that the front has a little less clearance than the rear. This 32mm tire came with a little more runout where the seam meets on the inside of the tire, so there is a wobble of about 2mm side to side. I have tried everything that I know to improve the wobble, but it remains at 2mm (soap, stretching, reseating, more stretching, and seating). These TL tires don't stretch much!!! I would have sent it back if I didn't have clearance, but I really wanted to try it out.
Seating the GP 5000 TL tires have been easily achieve with only a manual mountain bike tire pump that has higher air volume and less pressure. I seated this tire about 2 dozen times when working on the runout issue. The installation on the rim is where these tires are a pain in the hands. I use a tire jack to install them, but even with a tire jack, you may need one more hand for that last inch of tire lip. This is because my Ksyriums don't have an internal deep-v for the recess of the tire bead to provide more tire length for that last inch.
I still have about 3mm height clearance on the brake caliper and frame, but the side of the brake caliper is only about 2mm on one side due to the runout issue of the tire, so this means that I will have to pay attention to the brake caliper side to side alignment which is no big deal to me because it is one of my pre-ride checks.
I have put about 75 miles on this tire and it feels great over bumps and dropping into corners. It really excels on chip-sealed roads by eliminating most of the chatter from the endless bumps. I have tried 70, 65 and 60 lbs of pressure so far and I believe that I will stick to 60lbs. There are no signs of sealant on the tire seat at 60lbs, so I am not worried about pinch flats at this pressure. I may even try 55lbs, but I think that I am pushing it at 60lbs.
I don't know if it has better traction because I haven't ridden in the rain yet. I do know that I like them much better, so I order one for the rear.
In conclusion, 32 GP 5000 TL tires will fit on a V20 without rubbing, but it will depend on your wheelset and tire runout (wobble).