Here's my suspicions. I may well be wrong, but this is what it feels like...
I was wondering what kind of thing some actors (possibly state-based) were going to do this election cycle since the 2016 one (hacks of Republican and Democratic emails) worked so darn well. Exfiltrating DMs seems like it's going to accomplish just about as much, if not more.
And there's no big reason to think that the exfiltration of private DMs was limited to the people that had the Bitcoin scam tweeted on their accounts.
I think the Bitcoin scam was also the perfect innocuous cover story - a legitimate motive that nevertheless leaves one with the impression that the operator is a pretty small fry. So many dismissals of it's a silly scamp wanting money but only got 12 BTC, next day's news please.
But it did put it out there so that the public (and the public needs to know to establish the credibility of the compromised data instantly, immediately, with no room for doubt) is aware a broad hack occurred, without even exposing who was targeted specifically and the BTC didn't matter one iota. Now they can trickle-feed what they actually got all the way until the election. Also, they don't care who'll win, just like the email hackers didn't in 2016. They just want to sow discord. Tweeting the same unrelated thing on so many accounts also sends the message that they're not on anyone's side.
The only reason I think Trump didn't have anything tweeted isn't because they particularly like him, but because it gives of the image of graver national security consequences.