I suppose like most I've mixed feelings about this re: the original question.
In most covers bands most of the songs I've played I've never really had a strong like or dislike about them. Some of them have been interesting and fun to play, others not so much. I've been sent audition lists and seen a song or 2 and thought 'oh dear god, not that one again'. But in the main I suppose I've been ambivalent about the songs themselves and more interesting in whether the band as a unit works.
There's stuff I wouldn't consider playing, if someone said 'do you fancy joining a Black Lace tribute band?' I'd politely say no thank you.
On the few occasions I've played songs I've loved it's always been a disappointment. The Thrill Is Gone simply doesn't sound right without BB King, it's sort of ingrained into my head
A few years ago I was in an originals punk/indie band. I must admit most of the material wasn't my thing (the songs not the genre). The band was ok as such, however every gig we played no one was interested. Actually the best compliment we got was from the owner of a local music venue. We were supposed to be supporting a band one night, midweek, but they had to cancel. We had a gig on the Saturday so asked if we could just play for free as a practice, the owner said yes. The singer was late, so whilst waiting the guitarist, drummer and myself had one of those half hour blues/rock/psychedelic jams that we all used to do and forgot about. The owner said 'that was great, you should play more stuff like that' 🤣🤣