The lakers have no viable path to winning an NBA championship with a duo of Luka and Reaves, they lack playable center and trying to find acquire one is mostly out of their budget with the current outlook for the NBA. Instead trade AR at peak value before he has to get paid and get an actual offensive partner who, you can build a defensive core around for a championship window two years from now.
The pistons need a secondary creator, here's 4, AR is most likely gonna be better than Ivey ever will be and you already have the defense to compensate for any defensive weak players added. There's really very little reason not to try this, they don't give up much, and they really can only become better.
Kings just sell, there's probably some better packages out there. So they quite simply might be the most hard to convinced part of this trade, but I don't think it's impossible.