It’s very worthwhile to see
https://chabadpedia.co.il/index.php/%D7%A4%D7%A1%D7%A7_%D7%94%D7%93%D7%99%D7%9F_%D7%A9%D7%94%D7%A8%D7%91%D7%99_%D7%94%D7%95%D7%90_%D7%9E%D7%9C%D7%9A_%D7%94%D7%9E%D7%A9%D7%99%D7%97

Although even according to Rabbi Michi’s view, I assume there is a big difference from Shabbetai Tzvi and the like.
Not every “false messiah” necessarily also leads to the severe actions that Shabbetai Tzvi led to.
There can be a false messiah who brings real goodness and blessing to the Jewish people, including strengthening the observance of Jewish law and the commandments, but simply made the mistake of thinking he was the messiah.
This is an important point to pay attention to.
Because of the tragic stories of Shabbetai Tzvi and Frank, many tend to associate any mention of a “false messiah” with severe transgressions and a fundamental deviation from the path of Torah and Jewish law, which presumably does not have to be the case.