Alright Batman is fight 4 boxers back to back no resting between opponets and only boxing skills only. Batman is only wearing boxing trucks gloves and a cloth mask. The matches last 7 rounds each.
Unless this is movie Batman, Bruce comes in and throws a total of four punches, one per fight, for win by ko and none of his opponents even see him move.
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Batman has peak human comic book speed, which compared to any real life human or action movie star you can track with you eyes, is blatant superhuman speed.
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Apollo was also old, and out of the game, while Rocky was a reigning champ. Apollo was already past his prime when he fought Rocky, but was still good enough to outbox him. He just couldn't outbrawl or outpunch him, and the fact he even tried was a big heaping pile of PIS to let Rocky win.
Hell, he stumbled when he was dancing around Drago, making it obvious he had no business being back in the ring.
Even if we spot Rocky the ability to tank all of Batmans punches, Bats will go for the decision, just like he'd do if it was Grundy or Blockbuster he was boxing against.