I suspect your "CD" actually has multiple formats of the audio on it and maybe some video. Fundamentally this means is isn't a CD although most CD players can figure out what is theirs to play and ignore the rest, clearly your CD players and Amiga can't. I suspect they all pre-date the shops mini-system by many years.

As for the CD logo anyone can download it and put it on a CD -- it means nothing. The clue is in the statemenr "CD/DVD-V/DVD-A/SACD Players." there is no reason to say this if the content is purely CD and all of these can play CD anyway.