I wouldn't show them either. In addition to the poor feathering, an unfortunate side effect of the lavender gene (breeding back to black every few generations can help with this) they are not very type-y. The hens are very narrow and don't appear to be very deep-bodied or have much if any cushion. The rooster carries himself poorly as well. He is very, very upright and his comb leaves much to be desired if you're looking to show. All of their tails are also carried high and are narrow too.
Honestly if you're looking to show and breed them, it would be better to find them from a reputable breeder that is focused on producing quality birds rather than a hatchery or someone else interested in producing a large quantity of birds in order to sell them for a profit.