banishment and the rack

if a vampire chosen for the rack is banished and put into the uncontrolled region, do they gain the blood from the rack since the rack does not leave play.

Rack, The -- Type: Master -- Cost: None
Master: unique location.
When this card is played or the controller of this card changes, the controller chooses a ready vampire he or she controls. During the controller's unlock phase, the chosen vampire gains 2 blood. A vampire controlled by another Methuselah can steal this location for his or her controller as a action.
Sets: Jyhad:U, VTES:U, CE:U, Third:U, KoT:U/PT

Banishment -- Type: Political Action -- Cost: None
Choose a younger ready vampire. Successful referendum means that the chosen vampire is moved to the uncontrolled region (breaking any temporary control effects). The vampire is uncontrolled. Any cards and counters on that vampire stay with him or her (but they are out of play as long as the vampire remains uncontrolled).
Sets: DS:U2, FN:PS, CE:PTo/PV, KMW:PAn2, LoB:PG

if a vampire chosen for the rack is banished and put into the uncontrolled region,
do they gain the blood from the rack since the rack does not leave play.

No.

Answered by LSJ
groups.google.com/d/msg/rec.games.trading-cards.jyhad/gLl8F0zcCF0/cR8nsUweLQIJ