Well, quick test, very unscientific one, but here we go:
6.2k 30p, Long Gop 10bit 4:2:2 360mbps. Camera on Boost mode, filming a TV screen with a movie playing to give a harder time for the codec (if you test in a static shot, in theory the encoding work could be pretty minimal in a long gop). Face detect running too, getting faces on the tv screen.
Temperature set on the menus to "High", back LCD in open position.
Extreme Pro V30 200 Mbps card. Room temperature, 24 deg celsius, 70% humidity.
First overheating warning (yellow) appeared around the 25 minutes mark. The red warning appeared very soon after, around 29 minutes. But the camera never shutdown, ran for 45 minutes until the 128gb card was full.
Camera hot to touch, much than usual, but not close to cause a burn. With an infrared thermometer (not a very precise one) marked around 38 degrees on the back, where the fan could attach. The bottom plate was hotter, arounf 42 degrees, but you can hold the camera on the bottom without disconfort. The grip was hot too, around 40 degrees - removed the battery and card right after, battery hot but no so much, card was hotter.
Was expecting worse, since the red warning appeared so soon. Since the battery was a source of heat, probably feeding energy with a PD charger could extend the run times (and probably mandatory if you want continuous takes bigger than this, albeit the battery just dropped one bar).
Will do the same test in a hotter day under the sun (probably some months from now, it's winter here). Guess that yeah , a shutdown is a possibility under hot sun.