#2. NJPW wants someone to fill a top spot
NJPW seems to be having a bit of trouble with regards to filling the "top gaijin" spot. It was clearly held by Kenny Omega up until January 4th, 2019, but with his departure to AEW, he dropped the title to Hiroshi Tanahashi on the biggest stage, who subsequently dropped it to Jay White a month later.
Now the problem with Jay White is that NJPW rushed his push and put the title on him to quickly establish him as the top gaijin talent of NJPW. While that spot is something he'll likely hold for a while, NJPW may have gotten Moxley in hopes of filling a certain deficit.
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With his commitment to AEW, he won't be able to put in the same time that Jay White has, but they might fill him into a Jericho-kind of role where he's constantly challenging for top titles even when he wrestles on a part-time basis.