Who said anything about sex addicts? 0.o
But bards are inherently performers. That is what the word means (technically a poet, but often reciting while playing music). Even if you deviated from that in table top, in BG3 they cast their spells with musical instruments, so there is no way around it here.
Bards beeing sexual is a tabletop trope. Where bards always try to out persuade, flatter, coerce or outfuck them out of any trouble they find themselves in.
Bards are in a sense performers. But dance or sing isent ALWAYS involved. They can rouse morale with their actions and words of encouragement. Their gift of the gab can have many forms. Musical instruments arent always needed.
Also if you have a spell with only a verbal component, you dont need the musical instrument to cast your spell at all. Some spells like burning hands also have a somatic component. But it specificly mentions you joining your thumbs with outstetched fingers. You cant do that if you also have to hold a musical instrument, lol. Hellishbrebuke you could also cast without a musical instrument.
Bards without musical instruments CAN work. Theyre just very counter to the normal bard appearance.
