AA also loved Ozuna.
But this isn't that bad of a deal as it's not a ton of money, even if there's a very good chance it's still an overpay. I think the odds are better than people think that Arcia is replacement level over the next 3 years and you should be getting that kind of production for league minimum, not $2 million.
I am a little puzzled with the logic of locking him up though. Arcia is in no way, shape, or form anything resembling a starting SS. If he starts all year he will likely be the worst SS in the majors by a fair bit. He should never be more than a reserve. We have Shewmake who appears to be a significantly better fielder than Arcia and as such would probably bring at least the same value as a reserve. Shewmake would also be had for the league minimum.
But if AA seems to have a soft spot it's for fundamentally unsound hitters that can show some pop but who are miserable defenders.