It was really a useless battle. Had Bismarck made it to France, there would have been endless bombing attacks and either badly damaged (like Gneisenau was in Germany) or made it back to Germany with the channel dash and then travel to Norway like Tirpitz where it was a target to the end of the war limited is usefulness due to damage and lack of fuel.
Indeed it was. The age of the battleship was over, unless they were part of a battle group that provided air cover. The Tirpitz sat in a Norwegian fjord for years before the RAF finally managed to sink her.
We got a great Sabaton song out of it. So there’s that.