I mean they also denied Chuu was in a legal battle against them and then proceeded to exile her from all of Loonas activities as soon as Flip That promotions were over but considering Chuu was able to get a partial injunction against them with her not being paid I doubt things would go BBCs way if this is true.
Have to see what happens here though as there's the chance for them to rebrand if BBC has trademarked Loona however I only know of them applying for the trademark of Chuu although as well it will depend how much money Loona as a whole actually has since if they are starting without much then getting to the first comeback would be quite the hurdle.
Have to wait and see if anything else comes out about this.