To get the best responses from experts in the speciality, I recommend that you post your question under the topic of criminal defense.
The "disposition" you write about means that the person charged was charged with a greater offense, possibly felony theft, and that charge was reduced to a misdemeanor of misdemeanor theft. The disposition is a misdemeanor conviction which has no impact on the person as far as hunting, possession/purchase of firearms. It's a misdemeanor. Only felony convictions effect your hunting, etc. Good luck to you.
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