The way the plugin is currently written, it reads directly from Zotero's SQLite database. I had a quick glance at the API, but it does not seem to be possible to download the database. Therefore, integrating with the Web API would come with a substantial reimplementation effort.
If you are on linux and have ssh access to your E-Reader, you can easily script the update process to make it easier:
Code:
rsync -vrutU --delete ~/Zotero user@host:/mnt/us