The most Litvishe answer to this question is a story I heard from a Rebbi of mine.
Sometime in the 70s, a man who worked for Philly (The Philadelphia Yeshiva under Rav Shmuel Kamenetsky and Rav Elya Svei L’havdil) wrote a whole kuntrus documenting all the sources of the Golem of Prague and cross referencing them with historical dates, other mentions of golems, the Maharals writings, etc. His conclusion was that there is no way that any of the Golem stories were true.
Anyways, he brought his sefer to Rav Shach for a haskama. Rav Shach asked him, “Do you think it’s possible for the Maharal to have made a golem?”. “Of course he could of!”. “Then what’s the difference whether he did or didn’t?”.