20 - 22% sounds about right for Obama's white % in Texas. There's a certain ceiling that Republicans have hit there. The 20 - 22% are your genuine liberals and holdout union workers who are never going to vote Republican except under really specific circumstances.
I agree regarding white Texas Dems who already live there, but keep in mind that Texas presently has white conservatives pouring in from all over the country. So I could see Texas white voters being at LA/MS levels in the 2020's, but the trend will be from the new arrivals.
PS: Texas whites likely being right of Oklahoma whites is surprising to me. Although of course white/native identity is very fluid in OK, which makes it hard to be confident in any subsample by race.