I had a similar experience with a friend in high school who started to fake a stutter around me. So weird like what is the point?? She had a habit of lying in general though so I think it had more to do with that. A few years ago when I stuttered in front of a new coworker, he asked me if I was cold. I told him I had a stutter, and he proceeded to look mortified and then just avoided me. I have had past home care clients who were very religious and therefore fascinated with my stutter because of Moses. Older folks have straight up walked away mid conversation.