Actually, if he were to breed a banded female to a het striped male, he could get banded, aberrants and stripers both as lavenders and hets.

Though striping is recessive it has always been present in the lavender genes.

There are a lot of striped albinos out there, and spotted, and aberrants.

If she is bred to a normal albino though, all the babies will be double hets. However, if you breed her to a double het, then, depending on pattern, you'll half lavender and half het for lavender poss. het albino. Of course, then there's the pattern variations to figure out.