Wider tire=more contact patch for the ground=better for offroad. Drawbacks are wheel well clearance, and possibly coming off the rim easier if it's a 10.5 rim with 12.5 tires, and possibly cost. For the sizes you are looking at, there should be no noticeable difference. I haven't ever heard of anyone clearing an obstacle or not getting stuck due to tires being an inch taller or wider all else being equal.
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