It shouldn't. In reality, you aren't required to file returns to either DC or VA. Maryland has reciprocal agreements with DC and VA, so you are only taxed in MD for your income, even though you earned it in DC or VA. If you've already filed DC and VA returns that have zero refund or balance due, this is a confirmation that you did not need to file a return to either place. Those returns should have no effect in and of themselves on how quickly you receive a MD refund.
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