I see that @jada4p reported working USB3 in Turris OS 6.2.3 is in the testing branch - #2 by jada4p (with TOS 6.2.3, on hbk branch). It was already working for him with 6.2.2, and USB3 is not mentioned in the changelog of 6.2.3.
If anyone else can test on hbk, it would be cool to give your status on your USB3 mass-storage devices on the same thread. I’d say it’s likely to give the same result as with 6.2.2, but I might be wrong.