Untrue. Historically, there were no terms by anyone with the authority to offer them until after not just Hiroshima, but also August Storm and Nagasaki, at which point the Imperial Council was still tied between the faction demanding the Imperial House be preserved in addition to the Potsdam terms and that also demanding no occupation, and Japanese control over war trials and disarmament, with the latter group notably including the Minister of the Army and the Chiefs of the Army and Navy General Staffs, any one of whom under the screwed up Japanese Constitution had veto over any final decision. It took direct Imperial intervention to swing it in favor of the former. (whose offer was rejected by the Allies, and Japan finally accepted full unconditional surrender several days later after a failed military coup