Yeah, I'm not sure there is much to be gained from leaking internal data (are DMs that valuable?). The actual scam is executed so poorly that it can't be the main goal too. "Prooving" you have a good exploit by throwing it away is also not plausible.
Exactly, this would be a pretty reckless way to prove an exploit. You could just tell the potential buyer to create a new account and then tweet from that handle.
Perhaps, however proving you can access verified accounts is harder, still even that could have been proved lot more quietly if they wanted to , clearly this is a distraction or something else being is sold/showcased beyond this exploit
While we'd hope that most people would be smarter than the send anything incriminating through a DM, the high profile nature of some of these accounts means anything embarrassing in their DMs could have significant value. They already have access to two presidential candidate's accounts and might have access to the incumbent's account even if they didn't post from it.