He did take them to the brink. He also did the same against the Rams. And the Bucs. And the Delhome lead Panthers. And the Cardinals. And of course, the Patriots. It's in his blood and always has been.
When you have the ball with 3:32 and your opponent has a full complement of timeouts, and just so happens to be Tom Brady and the Patriots, you should try to at least to leave them as little time as possible. The very first play was a deep pass. Then after 2 failed passes and the holding call on Jackson, he goes deep two plays in a row again. As I said, a 7 play drive that is designed to both score AND leave the opponent with as little time as possible to retaliate should absolutely feature more than 1 running play at the end when you're inside the 3. If nothing else, once you got a first down and were driving, run it just to force NE to use their timeouts. And once it got to the 3 minute mark, and considering you're going against BB and a group of very smart players, there was no more chance of a 2-for1, so there wasn't even that angle.
It was terrible clock management and I doubt anyone truly felt like the Chiefs were going to win that game when there was 2:04 left. He literally served it up perfectly for a guy and team that are notorious for pulling those games out. There's a reason Pederson went for it on 4th and goal last year, and went creative. There's enough data to show that you can't just lay down and hope the game comes to you. When you have that offense, and the ability to control the tempo of the game, and you purposely don't, it's officially on you.
I watched it for years and honestly thought it would never end because he'll do the same thing next year, and the following, etc. It's who he is. I have no doubt he'd hyphenate his name if he could just decide on whether to add Levy or Richt.