Oh yeah, whenever i make a lets get Braun and Villar trade the first thing i acknowledge is that the brewers will want pitching specs more than anything else. And will want infielders before they want outfielders.
Puig becoming more mature is the tag you slap on him during trade talks to help his value, that´s pretty much it. It's a tough task for anyone to prove that the Brewers don't want Puig when they claimed the guy not even a year ago..they claimed him because they want him. How much do they want Puig? Now, that's a legit question. Maybe not enough to take Adrian.
Teams claim players and put players on waivers for a variety of reasons. And those reasons can fluctuate.