Well, the assumption shareholders have made is that Trump will want to utilize proceeds from stock sales for some policy objective, although I have never seen even a hint from his team as to what that might be. So it is certainly possible that Trump's idea is, "Hey, we can use the GSEs to bring mortgage rates down now, and then we can sell some stock later on, so I get to go to the piggy bank in multiple ways."
But this MBS buying is seriously muddying the waters. Trump is known to misstate reality, so when he said he is directing the companies to buy MBS, what does that really mean? Does it mean that the CEOs already wanted to buy MBS but weren't doing so based on prior FHFA guidance, but Pulte, as regulator, said they could start now? Or does it mean that Pulte, as Chairman of both boards, "convinced" the CEOs to start buying MBS even if they didn't want to? I have no idea, but the latter scenario is exactly why there will be no stock sale until Pulte removes himself and his friends from the BOD (among many other things that need to happen.)
The odds of this conservatorship stretching another 3 years, or even 30 years, are definitely not zero.