Cost, probably. The 777 and 787 still only use two alpha vanes, but they calculate a synthetic angle-of-attack value as well.
Sure, this would probably worth next to nothing in turbulence, but in a simple take off and landing (where MCAS is already active and depends on AoA) it might help.
And of course I might be completely ignorant of most of the relevant problems with using any kind of gyroscopic or acceleration based sensor.
An edit as response to the followup mentioning Einstein, due to HN throttle:
Yes, yes... and it doesn't matter for this purpose, because you can measure gravity at multiple points within the aircraft and because gravity falls off with distance.
https://en.wikipedia.org/wiki/Inverse-square_law#Gravitation
We have built equipment sensitive enough to measure this difference and we have flown it in satellites.
https://www.physicsoftheuniverse.com/topics_relativity_gravi...
I've seen pictures of it ( https://aviation.stackexchange.com/questions/2317/how-does-a... ) and seems to be a simple mechanical component.
Why isn't this compounded with something that works by estimating the AoA from other factors? A few simple gravity based sensors would be able to tell the vector of the plane, and simply assuming that wind (airflow) is parallel to the ground would go a long way. Or is the vertical component of the local airflow so variable?