With lenticular arrays you don't even need eye tracking (in theory), since you can directly synthesize a geometric light field (that is, a bundle of rays around each point with different colors for every direction), but you'd probably need quite a few pixels per lens. If the lenses are <1mm diameter, and you need say >10x10 pixels per lens, that's at least 100ppcm, or >250ppi, preferably a lot more. Latest phones do seem to reach that level.
In the end the satisfaction level needs to be evaluated experimentally of course, I wonder how nice one would be with current technology (say, an iPad Pro display), did you build a prototype?