The only reason I'd say it isn't straight from the Logan playbook is because they've been used first, and now hoping to get what they want in return, and there's no reason to believe they'll get it.
Logan would never allow himself to be used first, and then sit around waiting for the deed to be paid on the comeback.
Logan would probably have stock in both so that he's in a decent position however the chips fall.
One phone call (or one ignored phone call) by Mencken, and suddenly they've done all they did and got nothing in return but a ruined rep and a lunatic in power who they don't have a direct line on.
Even if you re-listen to Mencken on the phone to Roman after his speech, he sounded like he was bullshyting him and didn't sound genuinely thankful.