One things for sure, phased polaron beams completely ignore the hitpoints generated by normal shields on a satelite stack. I tested it out a while back, but can't find the results I posted.
I didn't really test all other damage types, but I have seen some bizzare things: example, shield depleters won't file during strategic combat, but can be fired during tactical. A recent patch made them do noting against a unit stack, but before, they would blow up a unit stack.
