Hmm.. i figured greens were always polarized as well, but could be wrong... couple of checks:
50 mW CR2 powered: polarized
DX 30 mW true AAA: polarized
Ledshoppe 50 mW AAA: polarized to some degree
The first two are polarized so i can almost null-out the beam rotating a polarizer in its path, any residual light might as well be imperfection in the polarizer or getting the angle right. The ledshoppe unit defintely shows a difference in brightness depending on filter angle, but doesnt show a clear null - if i had to guess, the best to worst angle have a 3:1 or 4:1 power ratio or so.
I doubt there is any difference in the crystal sets though, those should always give polarized output, but perhaps the further optics are screwing this around.