The video shows a Pathé KOK projector with serial number 10, manufactured in 1912. While they were the first home cinema projectors, built around the new 28mm safety film, this one is for 35mm. It looks factory-built but a 35mm home cinema version made no sense then (because of the highly flammable film) and makes no sense now (because of missing audio).

0:00 Early Cinema History
1:07 Fire Hazards, Home Cinema and 28mm Film
2:08 The First Home Cinema Projector
3:35 Serial Number 10
5:34 Native 35mm!
6:27 Why this makes no sense
7:57 Speculation