Hey Life, I can't say that I've heard this one before. W wants to date you while living with you but doesn't want it to be exclusive? I don't think I could live with that unless she was seeing only me. If my W asked me this I would say I am only interested in a monogamous relationship, but in that case would be willing to explore it. Thats just setting a boundary instead of criticizing the idea.
However I still think it was a crazy suggestion from her.
M: 43 W: 43 Married 6 yrs. T: 7 yrs. Son 20, 18, 17, 15 yrs. (w/ Autism), 12, 10