You may have a few good points, but I have to kindly disagree. Because just so you know: this is the Today Show, where professionalism walks toward the door as soon as the clock strikes 8.
As for Roker, yes, there is a right time/place and a wrong time/place for him to make personal opinions on certain news stories. But Today's Take is a right place; it's the hour of the show where he, Tamron Hall and (now) Bush give their thoughts on the big news stories, and he had every right to voice his. Sure, the execs want him to pussyfoot with what he says on-air generally, but here his words and demeanor were IMO more or less okay enough (give or take his anger and the straw stirring). So he shouldn't be in the wrong. Bush and Lochte should.
And I admit, I don't watch Today as much these days, and I can see through most of the casts' personal characteristics, so I can't tell what Al is behind the cameras, let alone in front of them; but I watched Today's Take more than a few times and I know what goes on during the first half hour. And here, I'm in the position to say he was professional enough to call out Bush and Lyin C©kte on their bull at the right time and place.
I'm sure if he said that on the radio or on another TV show, I believe there's a bigger chance he'd get a pink slip from NBC and pretend to be cheerful at the unemployment line.