First, rank speculation on what an unidentified state may - or may not - do is not what this site is for.
Second, the "secretary of state" will be unlikely to play any role. The scope is set by state, as interpreted by that the state's attorney general.
The foregoing is for general information purposes and does not establish an attorney-client relationship.
Most all states are members in the "Interstate Compact Act" which mandates each state to report to all other member states any DUI charge you receive whether it is a conviction or court supervision. Moreover, any state prosecutor will check your "criminal" history before diposing of any case to see if you have been arrested for any crime including DUI in the past.
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