I am not sure if White truly listens to Tubby. What I am sure is that Tubby must have talked to White after each incident and told him what was expected out of him in order to move forward. But, there is no evidence in his subsequent actions that White listened and truly respected Tubby's words. I hope he does right now. And, he needs to show him and us that he can move forward by not doing anything stupid for a while. That is the minimum he can do.
If Tubby has all the confidence in White with respect to personal matters, then Tubby will give him a go once he is sure that White fits into his system like playing defense or whatnot.
I personally do not think that White at this moment is the savior of our season. So, I have no problem with him not playing right now.