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No problems at all here. USB SuperDrive connected to MacBook Pro 16" 2019 via USB-C to USB connector. Running MacOS Big Sur 11.2.2.
 
Works for me on my 27” iMac. I plug it directly into my IMac. It used to work via my old Elgato dock that used to supply power which was enabled by an app that used to tell Catalina that the dock was there. Since BS the app doesn’t load therefore the dock won’t supply enough power. My point being: are you using a dock? Is it getting enough power?
 
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