1965 quarters don't have much of a rim as a normally struck piece in the first place. If it is missing a clad layer and there is excess space between the dies, the devices wouldn't be able to fill in during the strike. This would explain the weakness in the design rim and peripheral lettering and date.
Besides an expected heavier strike weakness on the reverse, is there anything else that would leave you to believe that it was acid dipped? Do the copper surfaces look altered?