A big man who can shoot threes is at best a gimmick with almost no history of success in the NBA (note: I separate here from the occasional 4/3 reserve that provides change of pace, Horry, Kukoc, Odom etc.). The problem likely being not so much the occasional three itself, as the incredibly soft and pathetic mentality that would cause a 7'0 tall man to run all the way out to the perimeter to avoid having to be physical underneath the hoop.
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Its an on paper asset which has completely failed clinical testing out in the real world.
A big man (at least, a center) that can shoot threes may have very little history of success in the NBA, but also has very little history of
failure. There simply haven't been that many who shoot threes on any regular basis.
A search using
http://www.databasebasketball.com/ shows that there have been a grand total of 10 - only 10 - centers in the history of the NBA who have averaged 0.4 three point attempts per game with at least 100 games in the league. That's 2 3PTA every 5 games, and only 10 guys have done that.
Those ten players include noted "softies" Arvydas Sabonis, Bill Laimbeer, Jack Sikma, and Vlade Divac.
There are three players noted for actually being soft on the list: Raef LaFrentz (who leads the field in 3PTA by a wide margin), Brad Miller, and our own Spencer Hawes. And there were three washouts: Wang Zhi-Zhi, Alexander Volkov, and Peja Drobnjak.
You claim that only "incredibly soft and pathetic" big men shoot threes, yet 40% of the top ten three-point shooting centers (by volume) of all time were clearly neither incredibly soft nor pathetic.
As for "history of failure" - I'll take those ten centers against any randomly selected group of ten centers any day of the week. That list simply does not smack of failure.
The reason there haven't been a lot of successful three-point shooting centers is because there haven't been a lot of three-point shooting centers, period. It's not because they're all weenies.