The Cool Thatguy said. He shot Secret Empire minions in Round Robin revenge. He fought an AIM offshoot in Matt Fraction's run, IIRC. He's an equal opportunity murderer.
Thanks for the incidents, so this shows Frank has no limits to who he goes after, but it might just be that those individuals he shot were doing criminal acts, and he wasn't wholesale trying to go after organisations? Frank could still feel resonance to Hydra in this SE instance the way Steve Rogers does it.