Thank you for the feedback. Much appreciated.

I've implemented some of your tweaks. Here are the latest features as of version 0.3.5

--the pop-up shows all stickies, with the current URL as the search query, which filters down to the ones on the current page
--clicking on a sticky's link will open the first tab where it's shown (if there is one)
--there 3 keyboard shortcuts
--shift+alt+N -- new sticky
--shift+alt+O -- opens the pop-up
--shift+alt+L -- opens the options page

I like your other suggestions too, they are on the roadmap. Sync'ing is a high priority. I'll edit this comment with updates :)

--- edit 3/30/23 ---

--Syncing is available if you register an account ($10 for unlimited)
--You can edit stickies from the page, without going into the main list settings