The tower was built after Brahe's death https://www.rundetaarn.dk/en/article/tycho-brahe-was-not-here/ https://www.rundetaarn.dk/en/article/tycho-brahe-was-not-her...
Better for marketing, better for tourists.
So often the DS9 joke comes to mind here: "Would you want to buy a book called 'The Suggestions of Acquisiton'?"