Unfortunately, no data points from me, even though I have been tested MANY times due to my profession. They've got my email, so they obviously get generated immediately.
However, I do have a data point for screenshots when QR code of the positive test stated that the result was negative. This is something that happened to me as well (back in 2020, once, and never since then). It was a bug, obviously. The second part of the ID is person-specific (all my test results have that second part identical, regardless of when they were taken) - it seems that if a positive test is followed by a negative test, that happens sometimes.