While that's not good, it's very different thing. Those two examples were of normal, civilian courts, proceeding of an independent judiciary; a President or Prime Minister has the "power of the bully pulpit", but no formal power. Our minimalist Constitution goes so far as to say Federal judge compensation "shall not be diminished during their Continuance in Office", i.e. the other branches of government can't dock their pay.

In military courts, the judges and jury are in the chain of command, so as patio11 put it, "the military courts should dismiss cases rather than having military officers be, essentially, ordered to convict." Hence the formal name "unlawful command influence".