So I got my SKR Mini E3 V2.0 and installed it yesterday. Currently I just swapped the mainboard. Because I use Octoprint I didn't bought a new display. Octoprint was working immediately. I didn't have to change anything and first prints were successful.
Today I compiled the firmware from the Github bugfix.2.0.x branch, made some minor changes (PID tuning etc.) and flashed it. Again no problems. I'm very excited about this board.
Hopefully soon the cable extension for the BL-Touch will arrive.