Yeah even among US accents I felt in the video she was really exaggerating Midwestern US accents when saying the "normal" version of "hand". On the coasts this "strange" pronunciation is not so uncommon.
Yes, I noticed the sounds in hat and hand still weren't identical but perhaps she's exaggerating an 'RP-like' sound to emphasize the distinction with general nasalized American English.
It's not general. It's purely a midwestern phenomenon.