Wulsy, I think it would be best to say that gear effect is currently NOT measured, rather than it CANNOT be. I'm pretty sure you could do it, given that with the path and face angle numbers trackman has it knows where the ball SHOULD go for an impact with no gear effect, and it measures where the ball actually goes. Difference the two and I'm sure you could readily back calculate the gear effect.
Having said that, I'm not sure how much it matters to TEACHING using a LM. You can check a player's AoA & path straight off using measured numbers right? If you're monitoring impact location with tape/marker/whatever, then you know what gear effect to expect and how that might change the face numbers. Even if you aren't, if you're familiar enough with the D-plane you'd know what shot to expect from the number spit out and any difference is due to gear effect. Wouldn't that be enough?
And even more than all of this, if you don't use a LM for teaching, what's your alternative - video, experienced eyes, guessing? I know where I'd put my money.
Why use the device at all if everything can be deduced (from ball flight)?
I think that GE is one thing that has such an effect on the ball flight that it needs to be included with all the other "measurements", assuming it is measurable. Because it's gonna vary from club to club, maybe even from ball to ball. IMO, people will laugh in the future at the thought of using a LM that doesn't include at least an approximation of the effect of the GE on each and every measured shot.