I have heard people say that, but I have also read a lot saying that certain breeds cause less allergic symptoms than others. Since I am not severely allergic, I am thinking I may get away with a breed like a siberian, javanese, balinese, cornish rex, etc - where they either shed less, don't have an undercoat, or just genetically have less allergens. But yes I understand for completely allergen free hairless would be best.
I thought about a guinea pig, but I had one when I was younger and they squeal and play on their wheel all night long, they are loud lol
Also may consider a rabbit....never had one...