Ok, just to let you know, the bike went all back to normal yesterday when I went back home on the highway. Ended up in the queue again, and no doubt the engine got hotter. But suddenly the temp bars on the display raised from 1 to 5 again. The fan started and I could continue on a "normal" bike the last 150 km.
Let's hope it was just an overheating confusion ...
ppffeww.