If your wife was a Texas resident she does not have to claim the MSRRA to be an Oklahoma resident. The purpose of the law is to make filing taxes easier for military and their spouses, but if you choose not to use MSRRA, you would have to file the state returns as required (in this case because Texas has no income tax you do ot have to file).
From the Oklahoma tax website (https://www.ok.gov/tax/faqs.html#q2369:(
When the spouse of a military member is a civilian, most states, Oklahoma included, allow the spouse to retain the same legal residency as the military member. They file a joint resident tax return in the military member’s State of Legal Residency (if required) and are taxed jointly under nonresident rules as they move from state to state. If the nonmilitary spouse does not wish to retain the allowed residency of the military member, then the same residency rules apply as would apply to any other civilian. The spouse would then comply with all residency rules where living.
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