I don't know about this. I don't have any particular beef with digital Projection, but assuming it is competently shot and post-produced, the images are always going to look better after a photochemical capture has done all the heavy lifting.
The bulk of the performance claims made for current generation digital cameras are arrant nonsense, spouted by people who really have no idea how either colour film or silicon sensors actually work.
If I was setting it up (assuming I had the money) I would get the best 4k laser projector I could get my hands on, and run that side-by-side with a film projector.
I guess if you have a collection of old prints that were entirely produced by photochemical processes, there would be some value in film projection, but anything made in the least 10 years is likely to have gone through a 2K DI process, so it's not going to have anywhere near the resolution of an optical print.
(Remember, with prints made from a 2K DI master you're basically seeing a fourth generation copy of an image with about the same resolution that normally comes out of a four-generation optical duplication chain!)