Anyone else taking over the idea & practice of LWS would inevitably curtail the thing that makes it work. The open mic for women to speak freely about something that matters to them. Any one of the other groups that have formed could, at any point, have given women a voice within their orgs, without censorship, giving them the chance to claim democratic representation of women & giving a true reflection of what women think/need/experience & how the GRA impacts any/all of that. But not one of them has done this.
Politics now is all about censorship & control. Who controls the narrative. Who gets their voice heard & who is deemed beyond the pale. I've sat through too many meetings, events, hustings etc. where there's no direct communication with the audience, questions are collated & edited, sanitised and bastardised, to give the person answering the chance to answer the question they want to, not what people are asking. And that's for the questions that make their way through that process so the claim of having answered the Q can be made. So many don't get answered at all. It's effectively a brick wall, and those in power or seeking it can carry on oblivious to the reality of what people think/feel/need/want in terms of any political situation.
The reason KJK gets so much flack is because she doesn't abide by the general rules. And love her or hate her, what she does, and how she does it, is the way many women have had the chance to speak & their voices heard.
The arrogance of claiming the thing KJK does would be better if KJK didn't do it, is astonishing. Especially when so many other groups could do their own version of it, but chose not to. Go hassle them & ask them to do their version in response, if KJK's efforts upset/offend you.