She's always danced like that, jerky etc. I don't find the dancing vids weird at all. I mean, I wouldn't post them if I were her as they're not great and people are judgemental but if she loves just putting on music and going with the whole 'interpretive dance' thing then who's she hurting, really? It could be the thing that helps her ground herself most and who are any of us to judge it?
She's always looked a hot mess when dressing herself. She's clearly not good at it (as many of us aren't) so the difference to when she's had hair/makeup done for tv etc is stark. She's a Mum - again, are we all sitting around dressed up with a full face of make up and our hair perfect? Nope!
The details of the conservatorship are really sad. She must be rather unwell for it to stand after all this time and it's really shit for her that the man with all of the control (her father) she has a terrible relationship with now.
Signs seem to point to her being bi-polar but none of us really know so we're all guessing. Again, sad for her that the World is watching so closely as this has clearly fed into her episodes before.
As for the photo - I mean, misguided maybe but hardly anything to panic over.
I say leave her be and maybe try championing her more rather than expecting her to fit into the 'box' of a typical pop-star. She clearly doesn't, and never did.