If I excluded every kid who had the common cold I would have an empty daycare from November to April every year. Sad, but true. It amazes me how often these dckids get sick.
Anyway.........yeah, the wheezing would concern me but lots of kids wheeze when they have bronchitis.
If he was otherwise okay and happy then I would accept him into care with the understanding, stated to mom, that if at ANY time I think he is getting worse she is to come get him.