It seems like a good idea for this extension to include provision to allow only users with appropriate permissions to edit other users' comments.
Topic on Talk:Structured Discussions
That's the case.
I don't remember the specifics, but admins can edit others' comments. IP can't.
Can you edit my message?
Yes I can. --~~~
You're autoconfirmed. It may be the threshold to have the rights to edit my message.
I hope that can be changed.
What would be your suggestion?
Maybe the same users that get to edit protected pages and system messages.
Be able to edit others' message is possible on unstructured wikitext talk pages. At least here, IP and not auto-confirmed users are prevented to edit.
For now, Structured Discussions are in maintenance mode. There is no strong development scheduled.