Working with styles appears broken when using pages with a cloud-based document - undocumented bug?

When working on a shared document in the cloud, I cannot define new styles (paragraph or character); the "+" is grayed out. I cannot rename a style, or create a new style based on an existing style. I cannot apply shortcuts.

I can live with that. But I cannot live with the fact that it does not appear prominently in the documentation. Just wasted a lot of time trying to figure out why styles appeared broken, and I see that there is at least one previous post about a similar that goes on for 3 pages with people talking past one another -- people trying to help could not replicate nor solve the user's problem. I suspect he was using a cloud document, just like me, and that this bug was not known to anyone who tried to answer that post.

Can anyone confirm for me that styles do not work right when editing cloud documents? Thanks.