Speculation online that it is V.P. Pence because of use of the word “dialogue” spelt old style the way he does it, and the use of the word “lodestar” which he has used in several speeches, even used it while giving McCain’s funeral address. If so, and I find it hard to believe, he is a crafty devil because if Prez. Trump gets deposed, he’d step into the slot. But I’d be more inclined to believe the Dems used that phraseology knowing it was Pence’s phrasing, figuring they could kill both birds with one stone, and Ryan would get in (UGH to that).
According to Merriam-Webster, dialogue means conversation, and dialog box means a window on a computer screen.
I’m an oldster and have always spelled it as dialogue.