Yup. What Emily said.
PB clothes only transfer with the same colored Pet.
sometimes people with a lot of extra PB clothing adopt colored unclothed Pets from the Pound just to dress them up and find them a suitable home.
Also , if you transfer a Desert Draik, remove the clothes and put them on another Draik (no matter what color it is) ... when you transfer your Desert Draik back the clothes will go back with them ... you will have to change its species (or color ... i think ... but definitely species) in order for the PB clothes to stay on the other account ...