I believe BB and Josh fed White the same way they fed Boyce....to see if they can get the job done. IMO neither did. Not one NFL team will respect the run when White is in the backfield. On the other hand...Bolden has proven he can run when called upon with 4.9 YPC in 2012 and 2013 with a total of 139 attempts and 634 yards rushing from 2012-2014.
He also has 25 receptions. On the other hand White has a total of 38 yards rushing and 5 receptions in his career. I see this as very similar to Boyce vs Gibson at WR. Boyce has done nothing in the NFL to prove himself while Gibson has 2711 yards receiving. Its not even a debate. Bolden is superior in every facet of the game: Special Teams, blocking, rushing, receiving.
Bolden
http://www.nfl.com/player/brandonbolden/2532797/careerstats
Rushing-yds Receiving-yds
634 171
White
http://www.nfl.com/player/jameswhite/2543773/careerstats
Rushing-yds Receiving-yds
38 23
White is still a work in progress....Bolden is not IMO.
ADDENDUM
"Bolden has been the main man for Tom Brady as the pass catching/blocking back during the past three practices"
http://www.bostonherald.com/sports/..._has_emerged_as_leader_for_shane_vereens_role .