Tut-tut. You're making me think. I'll find some way to make you pay for your crimes.

I'll backtrack! Logic is logic. It's the basis of the logic that differs. It's about psychology. The alien logic can be comprehended only when their psychology is understood. So, I would rephrase your question:

"If the logic between two species are different..." >>> If the alien psychology cannot be understood...

adding "...then any question regarding their rationale, motives or behaviour becomes unanswerable."

And look, if I don't make the grade, I expect a consolation prize for effort.

P.S. - There's the additional question: Who would you be most likely to believe - the aliens, or the politicians?!