The Contractual Obligation Implementation - S6-E18
Factual error: At the end of the episode, the girls are at Disneyland in costume as Disney Princesses. Adults at Disneyland are not permitted to wear character costumes because of the risk of them masquerading as Cast Members, so they certainly would not have been dressed that way at Bibbidy Bobbidy Boutique.
Answer: Because Raj's selective mutism seems to be caused by women that Raj sees (on some sort of conscious or subconscious level) as a potential sexual partner. An attribute that wouldn't apply to either his sister or mother.