As a follow up to all-hands. @Jdrewniak wrote a Chrome extension to enhance Phabricator workboards and display status of Gerrit patches for each task.
Extension page: https://chrome.google.com/webstore/detail/pherrit/polcefipbgcdfkpbmmbdjgkgfgjoebij
Source code: https://github.com/j4n-co/pherrit
From discussions @hashar, it seems everyone is pretty much on board with integrating the feature. I can imagine it would be fairly straightforward to add it as-is. Bonus point for adding a user option which lets one enable/disable it.
Pherrit view: