Why did the movement lose your support? It didn't advocate removal of libel laws, did it?

And "extrajudicial punishment" is a stretch for "I have a right to tell people what happened to me without shame and harrasment".

Did #metoo make a call to burn people at stakes that I missed?

You're kidding, right? You think that all of the things listed below are instances of "I have a right to tell people what happened to me without shame and harrasment", and none are instances of virtual stake burning? Note: this is the result of just five minutes of keyword searches, I have no opinion on the actual merits of these cases, just disproving your claim that there is no extrajudicial punishment associated with the movement:

https://www.forbes.com/sites/karenrobinsonjacobs/2020/06/30/...

https://www.tampabay.com/blogs/media/2017/10/31/house-of-car...

https://blog.mozilla.org/en/mozilla/brendan-eich-steps-down-...

https://www.spectator.co.uk/article/what-the-cancelling-of-j...

https://nypost.com/2020/06/11/the-wing-ceo-audrey-gelman-res...

https://pagesix.com/2020/07/01/essence-ceo-richelieu-dennis-...

https://www.distractify.com/p/tyler-joseph-canceled

https://www.rt.com/news/535587-depp-cancel-culture-festival/

https://www.bbc.co.uk/news/uk-57426579

The things you listed look like a random collection of things that happened where there was some controversy.

I'm not sure what you're trying to say, looks like you attribute all scandals to #metoo agenda.