I am projecting old Super-Eight, Eight, and Sixteen reels onto a wall and video-taping... it works
The projector is a GAF 1388. The video cam is a Canon Vixia HV30.
The projection surface is a bright white sheet of 13 X 19 heavyweight matte print paper.
I have adjusted and tweaked all surfaces and normals to eliminate "perspective".
The phenomenon I am getting is that the super-sensitive Canon is registering the flutter of the three-bladed GAF shutter wheel and creating a "fan-like" visual effect of dark-light fluttering. You can't really see it on the pure projected movie on the wall, but the super-sensitive Canon registers this flutter and totally exaggerates it so that it's pretty distracting.
It's really worth it to get a Variable speed projector. They're around. I paid about $75 for mine off ebay about 8 years ago. Of course a five bladed projector is even better, but you can get decent results with a variable speed that you can trim to just the right speed to go into the sixty fields a second.
I also had much better luck projecting onto a matte GRAY surface (not textured) then onto a white surface. It helps control the contrast build, making it easier to control over exposure and clipping in the white areas.