Update after 2017 season:
So, we've (my brother and I) put 20 double track days (=40) on the car this season. The car runs for around an hour at a time as our run groups are consecutive every time.
Regardless of the temperature outside it was impossible to overheat the oil/water or DCT. Trust me, we tried
The DCT with OEM GTS software works flawlessly every shift. You can redline 6x a lap and still have zero issues.
This year we only ran sticky street tires (NT01, R888R, RE71R). Next year we'll run some R1's so I'll update again.
For the record, we are both PCA instructors and run in red/black, the two fastest PCA groups.