I just updated my MacBook Pro to Big Sur and I'm having the same issue. My external SSD ejects not long after loading onto the desktop and clicking it. I'm getting a message that says, 'Eject "Extreme SSD" before disconnecting or turning it toff' and the SSD ejects. Can't do anything with it. I read that Catalina had the same bug which was fixed but wasn't fixed for Big Sur. Any help would be appreciated. I have all my client work on the ExSSD.
Thanks