I used a crock pot for my (one) batch. Far from expert, but once the lye water cooled I didn't notice any fumes at all.
Pretty much as soon as the oil/lye water were mixed it just smelled like baby soap to me. No real scent, ever so slight. No fumes came off of it once it was mixed and cooked. I wouldn't put your fingers in it but I don't see any problem with harmful fumes.