My only contention with this is that those features don't
really take influence from the real world in any more than a superficial sense. The biggest influence is geography of spawns. I don't mean the regional pokemon aspect, rather the feature that water-based ones spawn closer to water (ie: next to a river). I can agree that's AR.
On the other hand, gyms are just arbitrarily tied to landmarks purely by location. There's no actual interaction with the landmark. Excepting spawn variance, you could replace the entire pokemon map with a fake world and absolutely nothing would change from a gameplay point of view.
In that sense, I struggle to call that AR there's no actual augmentation to the reality. The pokemon, gyms, PoI, etc. do not influence or take influence from the landscape around them. You don't go to actual hospitals to heal your pokemon. Gyms don't change in any way whatsoever based on where they're placed - for example, battling in a gym in the middle of a park doesn't involve fighting in an open field with no obstacles, vs a gym in a CBD letting the buildings, cars, etc. play a role in the battle.
It really boils down to the subjective aspect of what AR/VR/etc. constitutes. For me, there needs to be some influence from the real world to the AR. With PoGo, there's really not beyond the most superficial listed above. In that sense, it's no more AR than an achievement/reward-based, social-network style step counter where you compete with your friends and the public for the amount you walk. It simply uses the GPS to measure distance - beyond that, the real world plays no role.