Tangent Plane is not used too often since most people don't know it exists but in most cases where the mating surface contacts a plane, tangent to the plane is real life. One would only contact on the high points on the plane during assembly.
If one had a 45 degree angle with a +/- 30 minute tolerance, the shop floor would use a protractor and contact tangent to the axis or high points and read the actual angle from the protractor. This is an axis and not a plane.
On a tangent plane, one would need a checking flat the exact size of the plane. Place the checking flat on the plane then then check the tilt in both directions (both axis)and report the highest reading. Tangent plane just takes the flatness out of the equation.
If you think people don't understand GD & T now, just place a "T" with a circle around it and insert it in the feature control frame after the tolerance and watch the reaction.
There ARE good uses but I don't believe that we are at that level yet in industry. This forum kind of proves it.
Dave D.