[ashamedpedant]

It seems he does pay attention to sources which "confirm" the things he already believes. Based on that, I can imagine a few unlikely but positive outcomes from these meetings.

Trump has spent a lifetime fighting contractors and trying to keep projects within budget. Maybe Musk and Bezos can persuade him to expand the use of fixed-price "space act agreements" at NASA (like those previously won by SpaceX and Blue Origin for CCDev) instead of the traditional cost-plus contracts. Trump has recently tweeted about Pentagon projects going over budget; maybe he can be persuaded to push the fixed-price model there as well.