Currently, it looks like, the sole function of the browser extension is to open the menubar extension in web clip mode.
Thought it would be really cool if we could add a note, change its reminder to something like “URL”, a badge (reminder) showed up on the extension icon, and you could then easily see the associated reminder note(s) somehow.
Looking at the current implementation, I guess it makes sense for these notes to be displayed in the menubar extension.