I've been hunting archery in MT for several years. I buy the archery endorsement online. I think they may ask for a state and license year in which you had an archery endorsement in the past.
If you have hunted in another state with an archery tag, such as WA, just put the year that you last hunted archery in WA.
I can't imagine that MT, or any other state, would spend the time and money to contact other states to verify that you held an archery tag in that state in the past.
I have bought the archery only antelope tag and don't recall being asked for proof of archery education or previous archery licenses at the time that I applied for the tag (900 series archery only antelope tag). I believe the only time you will be asked is when you purchase the $10 archery endorsement and you can do that any time before you take the field.