Beane has never had this job before. He's making it up as he goes along, in concert with McDermott. They have a plan and theories but neither of them has been in charge like this before. Beane doesn't have a trend yet, and it's surely a different mindset and strategy once you have reached a point of being in the middle of a playoff hunt than being on the cusp just hoping to be asked. He should look at trades differently than he did before. There is an argument to be made that a short term loan like Green IS part of a long term strategy because playoff experience is invaluable. He's doing what he should be doing, looking at all possibilities, short, mid and long term, and then making decisions on the fly as to what is the best move at the time.
Personally, I'm all for an AJ Green trade if he is healthy. He helps in innumerable ways.