I found the answer! Sg0 sg1, etc. for generic scsi, which get used somehow but aren't actually linked to scd0 and scd1 or /cdrom etc., has permissions that don't allow you to access them as a user. since sg0 and sg1 etc. don't belong to the cdrom group either, this doesn't help any. I changed my permissions for the relevant sg drives to 766 (actually, I think 666 would have been ok) and now abcde and cdparanoia work fine for me as a user.
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