I heard about the first thing you mention, those others never but would not be surprised.
"The book details how while auditioning for roles in Times Square, she would partake in nude modeling and even turn the occasional trick (i.e. prostitution). "
https://doyouremember.com/148390/lucille-ball-scandalous-past-nude-photos-prostitution-hardship
Another source says "She was a nude model, a hooker and a gangster's moll...who started her career on the casting couch"
https://www.pressreader.com/usa/globe/20210614/281904481085987
OK, back then, times were tough for a lot of people, they did what they had to do. But, it is her past and can't be undone, just rewritten to gloss over the unsavory parts.
"Lucille Ball was a monster on set" Says it all about that aspect of her life.
https://factsverse.com/lucille-ball-was-a-monster-on-set-according-to-co-stars/