OK. I will start spamming with sketches to bring the ideas forward. I think a reconciliation interface could be an app that could be used with many different underlying programs (OpenRefine, Google Sheets, local Excel and others, but what exact requirements for the data input/output there would be, I don't know. I have a hunch it's doable).
Making educated manual decisions about reconciliation requires comparing the local and remote data in many ways. I am designing for the Wiki* environment here, assuming the use of the reconciliation API, but possibly extended with some other features if possible.
Here are design proposals for full-screen interfaces. I have not taken any OR design frameworks into account, these designs are there to convey my ideas for functionalities.
Settings
The settings would consist of several independent setting sections that could be switched on or omitted.
Each section would host a number of options (these have not been precisely defined. There are constraints with the recon service, and a wide variety of possible variables). There are many fixes to current problems in the way the data is added (eg. use an exact match with an authority ID and skip text recon; allow using constants as values, control how strictly different data is required and tune this for individual items or refine the settings during the manual process, and maybe use AI to learn from the tweaks)
The top part of the reconciliation window would display the data of a single cell similarly to the Search for match interface. You could edit the input, create one new item or an item for all similar values, or not reconcile.
The bottom part would list the candidates on the left and the recon interfaces on the right. You could use any of them to make the match. You could add, maximize, minimize or close interfaces and change which data they use on the fly. The settings would be one of the possible components.
Interfaces that I have sketched are
Comparing web pages
Comparing coordinates
Comparison of individual properties for all candidates
Display of all available properties for a candidate
These designs are in Figma and can be made collaborative, if there is interest.