I'm not a technical guy. Just giving my 5 cents.
I recently bought an Atari STF. I already had a Gotek USB with HxC running on my Amstrad CPC. So I used it on the STF and it works flawless. Replaced the floppy drive and using an external power supply so I can swap instantly to the Amstrad when I want.
I just copied over the correct firmware/boot files in the root of the USB and the STF instantly booted up with the file menu system of Hxc to choose your games from.
I did bought mine from Amigastore.eu (hehe) with HxC as option (not the Cortex firmware). I guess the Lothareks is the same.