Cautious cat has trust issues with carpet

This American Ragdoll mix named Harley Quinn has been displaying this unique behavior ever since she was a kitten. Rescued at 2 weeks old and horribly abused, she is now in her 16th year and as happy as ever. According to user 'jkways', no matter what house they have lived in Harley finds it necessary to hop ONLY out of their parents' room at every single encounter. She cannot exit without hopping out the way like she does in this clip. Does anyone have an explanation for this?