The Bismarck has several things going for it as relates to name recognitions vs her sister.

Mostly in that she actually did battleship things instead of being hold up as a fleet in being and attempted commerce raider for most of her life.

To be clear Bismarck failed in her mission in her short career, and had about as much true impact on the war as Tripitz, that being that it forced the Royal Navy to hold additional assets in home waters or on escort duties to meet the potential threat of the 4 big German ships (the Bismarcks and the two Scharnhorsts). But all 4 came to rather definitive ends at the hands of British sea and air power without capturing or sinking more than a score of transports and an even smaller number of warships between them.

But back to Bismarck, frankly her sortie with Prince Eugene, gunnery duel with Hood and Prince of Wales, her damage by daring British Fleet Air Arm attacks, and finally her being run down like a fox and sunk in a final gunnery duel are the much more exciting story. It involves great drama from the fear of Britain's lifelines being disrupted at a crucial time in the war, the sinking of the pride of the Royal Navy, to the foes inevitable destruction by daring and dutiful British sailors.

Tirpitz meanwhile frankly just didn't have as exciting a story to tell. While some of the attempts to sink her do have drama all their own, the threat to the Arctic Convoys to Russia simply don't represent as existential a battle for most of the Western, Anglosphere history consumer market. That isn't to say they weren't deeply important to the global war effort, don't have valuable stories to tell all their own.

A Fleet in Being is simply not a very exciting an existence, and that is part of the role she played, along with the Scharnhorst. By forcing each convoy to Russia to be escorted should she come out, far more resources were tied down than if she and some escorts had set out to hunt down the first convoy they found. It was in this way that the limited remaining German surface forces tried to prove their worth to Hitler and impact the war following terrible losses and accumulated damage in 1940-41. And it could be very effective, under air and sub attack, when it was mistakenly thought that Tirpitz and a task force were underway, the Allied convoy PQ-17 was ordered to scatter and every ship for themselves. Of the 35 merchant ships that set out only 11 made it through, the rest being sunk or scuttled from damage.

The problem was though that when German surface forces did commit they also risked losing one of the irreplaceable big ships. This was Scharnhorst's fate in December of 1943 at the Battle of North Cape when after attempting to find a convoy sighted by aircraft she was ambushed by a British force specifically sent out to hunt her and in a running battle in atrocious weather with some bad luck she was sunk.

And while Tirpitz did make a few sorties with her smaller cousin, and other cruises on her own she never got enemy ships under her guns and was instead worn down by persistent, and some very creative attacks in her increasingly protected fjord anchorages. While a dramatic read it isn't quite as marketable as a daring gun fight on the high seas we can safely say.

A commerce raider that never actually did any raiding, and a fleet in being that did much more being than fleeting is essence sums up the Tirpitz.