My information is that they are working assiduously to complete all exterior work on the West facing, main facade well before this year's Festa de Santiago on 25 July. That will permit removal of the exterior scaffolding.
They are also pushing to finish all restoration work around the main altar. The Botafumeiro is back in regular (as per policy) use.
I expect some remaining scaffolding on the exterior around the sides or rear (east) facades. Also, some interior scaffolding will remain in the naves and around the main entry as that work is more intensive.
This year, I return for a month or more on 7 July. I will provide updates as indicated by what I observe first- hand.
Hope this helps.