Quite strange, and I think it's a bad choice. Probably won't be a problem this year, but by delaying the award ceremony, you risk the player having made themselves totally irrelevant. Seeing say Manning accept an MVP after being one-and-done in the playoffs would be awkward and embarrassing for all but the super spiteful. If the MVP is in the Super Bowl, do they really need yet another media obligation taking them away from their preparation? Seems just like an unnecessary distraction and bad idea all around.
On the plus side, I suspect it's a vote of confidence from the AP that Brady will be in the big show. They're probably just trying to generate as big a story as possible. Giving Brady the award during SB week would allow them to go nuts with hyperbole and GOAT debate. In some small way, I bet some people in the media probably even hope they can deliver the mother of all jinxes.