euh... No. it will not. How can a machine that you connect to the shaft at hands high measure face angle? It has no clue about where the face is or what it is doing.
Please read for instance the zenio documentation very carefully and then read that even with a very slow putter swing almost nothing can be measured except the difference between address and impact. And that is putting, what about a iron or driver including waggle at high speed?
Or what about this statement from the ammsensor
"Linear Velocity and Linear Position
Linear velocity (m/s) is produced from the integration of the inertial linear acceleration and linear position (m) is produced from the integration of the linear velocity. The initial position of the sensor is considered to be the origin and measurements are given with respect to the global reference frame. These quantities suffere from substantial integration drift; there is a reset function supplied that should be used before every use.
"
There is no magic bullet.
You're so hung up on whether or not it can be done when the proof may be commercially available early next year. Instead of being so adamant about it being impossible, why don't you wait a few months before you end up with egg on your face.