Two part wishlist. I searched but didn’t see anyone ask for a web-accessible version yet. I imagine that this runs counter to your core business model (Everdo works without a cloud. All your data is kept private on your PC in an open format.) so I understand if it is not a priority. Maybe as a part of sync there is a way for users to bear the burden of self-hosting somehow and if that would then support a web-clipper/browser extension.
What I am really after is an easy method for gathering and bringing information and ideas into Everdo. Having used/tested more than 250 productivity apps over the past several years, a quality web clipper has been my most treasured feature. I have most commonly seen/used Chrome extensions, but I imagine there may be other methods. If a browser extension is not realistic maybe there is another way of providing this functionality for Everdo (e.g. drag and drop). Anything that allows us to very easily gather info from the web into Everdo.
Evernote has always done this well. Todoist, Wunderlist, Ryver, One Note, Keep, Yanado all are solid. Trello, Asana, and Webjets are pretty good. Milanote is one of the best. Dozens of other apps have these types of extensions and I find this to be a critical feature. Hopefully, it makes it onto your roadmap.