It has been explained elsewhere, and it would be just as long for me to go search for it as to just re-type the explanation here of what the problem is.
The way the Tesla UMC tests the ground connection is to try to run a very tiny bit of current between a hot and ground to make sure the ground side is solidly holding to 0V instead of floating. That particular action of taking current from one hot and not sending it back through the other hot is exactly the kind of thing that GFCI is supposed to detect and prevent. However, it is supposed to have a threshold where a very tiny amount won't trip it, so the Tesla UMC should be small enough to get by. But a very large portion of GFCI outlets and breakers tend to degrade with age, so that their threshold levels drift and don't work right, and the ground test from the Tesla UMC will set them off pretty frequently.
So while you say you think it would only increase safety, it also has a very common side effect of causing a lot of false nuisance breaker trips.