Can someone explain how White Vision has the same powers and strength as regular vision without the Mind Stone?
It was mentioned in Episode 7 that merely being in Wanda's presence is what "activated" White Vision.
In the Finale
Spoiler!
Wanda's recreation of Vision gave White Vision all of his original knowledge and memories. Whether that's enough to override his programming remains to be seen but I'd imagine that someone like Bruce and probably Wanda herself can fully restore Vision.