I'm somewhat in the same place with the TT, needing to replace the Dunlop Sport Maxx RTs, size 255/35/19 that I currently use. I also want a tire that will see occasional track use and one of my fellow track rats, Andre Corriveau, who also runs a tire and detailing shop (
https://www.slickautosolutions.com/) *and* is an incredibly gifted driver said that the Indy 500 will put up with a lot of track punishment. Basically his premise is that its forte is dry grip but that it will not be out of sorts on a damp day. It has very large and solid looking shoulder blocks and might be a good fit for my use case. The General is tempting, but it gives away a bit too much dry grip and I worry about how much abuse it would take.
The Tire Rack did a test that involved both contestants ->
https://www.tirerack.com/tires/tests/testDisplay.jsp?ttid=235 They seem to concur with Andre's observations. Furthermore, another acquaintance of mine, who tracks a late model Mustang GT, just switched to the Indys last track season and swears by them (not at them LOL). Gurgie would know him. His name is Yannick.
Basically it comes down to a battle of the subbrands. Bridgestone/Firestone and Continental/General. The Indy 500 is a rebranded Bridgestone Adrenalin RE003 (google it, they're identical) and many say that the General G-Max RS is the same carcass/tread compound as the Continental ExtremeContact Sport (or maybe its predecessor, the Contiental ExtremeContact DW but with a different tread.
I could afford to buy the Michelin Pilot Sport 4S or the Continental ExtremeContact Sport for track use but given a choice of grinding a $350 per corner tire down to its constituent parts or a $200 tire, my left brain votes for the latter. My car is not that easy on tires so maybe giving up a bit in terms of ultimate grip and bragging rights would be the better compromise.