Most states, including Oklahoma, do no accept foreign probates. The methods you describe “May” put you in a pay status with some operators. However, it does not establish marketable title and the operator is assuming some risk if they do so.
It is very common to see operators accept such documentation when leasing. However more often than not, when it comes to paying on the production, the account will be placed into suspense until marketable title is established.
The correct method is to probate the estate in Oklahoma.