If the printing of such a multiangular sheet requires sophisticated technology to produce it and the surface of the sheet has to be covered in tiny pyramid-like structures (which most likely will require using more paper than an ordinary sheet) would this approach really be economically and ecologically better?
Also, viewing the sheet from different angles is not only an additional hassle for the user, but the information displayed when viewing a sheet from an angle might be unclear. I'm judging this by the multiangular pictures that already exist, the images in them are usually not very clear, if there are two images (as is usually the case), one of them is normally way less clear. So if the same technology was used, it might be too complicated to read the text on such a sheet.
Fine-tuning a system with some mirrors and automated tilting function, as you propose, might be an option, but this further increases the cost of the technology. Also, the necessity to use a bulky device just to read some pages might discourage people from using it. Maybe it would be easier to use an entirely digital system then. Perhaps these complications are the reason why the existing multiangular pictures are used only occasionally and only for decorative/entertainment purposes.
I liked the idea of implementing the possibility of multiangular views in cinema. Maybe it would even be possible to produce movies with different versions of the plot. It reminds me of
this contribution by Shubhankar. But since around the 2000's the majority of cinema theaters are using digital technology instead of old-school photo films there's no niche to apply such technology for that purpose. Maybe some antique movie theaters still using film reels could implement this and make it into a steampunk trend, but the sophisticated technology required for this would probably not be worth it.