Many thanks for your reply!
After some testing I found that shooting with Canon's H.264, with sharpness, contrast, and saturation backed all the way back, in good light, and good exposure, I can upscale to 4K and get acceptable results (little bit soft).
I want shoot a project on an iPhone X and wanted to complement it with some footage shot with longer lenses on Canon. Considering iPhone footage is compressed as well I think this could work reasonably well...