[Hummingbird Pro] Hummingbird breaks sites regularly

So the problem is, that either because of updates to the theme, or the plugin it seems to break the site. It looks like some css and maybe other resources arent loaded (fully) – see screenshots attached.

This happens with multiple different themes and hosts as well.
I have then to clear the cache and sometimes even TWICE to fix it. Not warnings about changing homepages although they are obviously broken…