My usecase would be a set of parentheses (as in XKCD #297 "These are your father's parentheses, elegant weapons for a more... civilized age"), or perhaps even dragon balls (the star formation are supposed to look the same no matter the viewing angle).
But I suspect that the interference pattern would in that case interfere with itself down to nothing.
I can't offhand reason out what "viewing distance distortion" would do in the specific case of making a 2d image "follow" you (might even cancel out!), but in any case it's not a big deal if the viewing distance is much larger than the hologram size.
Interestingly, there's a traditional optical solution to this problem as well: beer pump logos, which are often displayed behind a very convex lens which partially corrects for parallax distortion.
(Edit: you will not, however, be able to correct for rotation. The hologram can't possibly "know" what orientation your head is in, only where it is.)
Will need to look up beer pump logos. Interesting.
This makes my head hurt to think about, though.
Might have a more narrow viewzone, because the light field from those is fairly narrow as I recall.