Ceiling fans no energy savings in winter

Unclear how effective their use is over winter in reverse, blowing back hot air at near ceiling.
Likely no energy savings

Ceiling fans on low settings do not produce wind chill in winter. paper
Big Ass Fans claims reversing ceiling fans in the winter recirculates heat but creates drafts.
Traditional paddle fans don’t effectively circulate heated air at a low speed, and at a high speed create a draft.
Possible bias: Big ass fans is a fan manufacturer