@drgnslayr The case for NBA big men not playing like those of the past is not nearly as strong as one might think. Although PFs probably shoot 3s more than they have in the past, this is NOT the case for centers. I have gone through the list of current centers and their backups as regards the average number of 3 point shots per game that they have taken over their careers. The only ones who shot more than .3 attempts per game are:
Al Horford of the Hawks at .34 (up to 3.4 this year)
Jared Sullinger of the Celtics at 2.25
Kelly Olynyk of the Celtics at 2.24
Andrea Bargnani backup for the Nets at 3.4
Spencer Hawes backup for Hornets at 1.48
Karl-Anthony Towns of the Timberwolves at .43
Gorgui Dieng of the Timberwolves at .5
LaMarcus Aldredge of the Spurs at .34
Boris Diaw of the Spurs at 1.37
Matt Bonner of the Spurs at 2.47
Draymond Green of the Warriors at 2.42. I am listing Green since he plays center when they go small although most of his attempts are from his PF position when Bogurt or Ezeli are in the game.
With the exception of the San Antonio Spurs and the Boston Celtics no other team has key contributors who shoot more than 1 per game. Most of the rest of the centers shoot in the .05 to .1 range. This is not much more than has been the case in the past. I would guess that most of the shots are in desperation at the end of the shot clock. The primary reason for this is that they are not very good (that is being very generous) as most percentages are lower than 20% and a lot have an average of 0%.