I've volunteered to learn a remote for the community at AVS Forums, but this particular remote (and projector) make extensive use of a "control" key which modifies the functions of a bunch of other keys.
JP1 remotes apparently call this a "shift" or "shifted" function (makes sense, 'shift' like a keyboard shift.)
Does the Neo support shifted keys? I can't seem to find an answer by searching the forum.

I would guess that using the shift allows a mfg to get more codes on a remote by doubling the functions each button can do. I would guess that it simply causes the button to emit a different code when the shift is pressed. If this is the case, you would just make two buttons on the neo for each button on the original remote...one for the regular function and one for its shifted function. Then just learn each one.

It would be easy enough to test. Make two buttons, learn the unshifted code on one button, then press shift and learn the shifted code on the second button. test the two buttons and see if they each work.