Sister has bad allergy triggered asthma, didn't want a poodle which is hypoallergenic because...well, they're poodles. got an F1 labradoodle, great dog that inherited the hypoallergenic trait of the poodle.
Lostt her first one last year at 14yrs old and got another one, again a first gen cross. My understanding is that the 1st or 2nd gen crosses seem to be the secret to inheriting the hypoallergenic trait.