A friendly amendment, I think rlcarey meant that the time frames for "abandoned," not "dormant" accounts are established by state law. Dormancy is a matter of bank policy.
Whether your bank has differing time frames for transaction vs. savings accounts is up to you. Assuming that a "dormant" label generates some protections for the account rather than just a fee opportunity, it does make sense that a transaction account would be classified as dormant within a shorter period of time than a savings account.
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Try? There is "do" and "do not," there is no "try." Yoda