I do not think so. That looks like it is near the SAI and I checked the two docs and did not see anything that looked like it was there.
Most of the connections are with larger nuts and some have frames around them to lock in the wires.
When I had a strange intermittent start problem on another car, it turned out it was a loose connection on the trigger wire, though your theory about something failing when hot could certainly be an issue.
I am not an electrical expert, but have you checked for voltage and voltage drains on anything related to the failures you are experiencing?
Have you been able to log any values with VCDS that might give you a clue?
And last stupid question: Have you checked the batteryās health?
Ed