Hey BPTT, I have now moved these cycleways on-street in these two changesets:
- https://www.openstreetmap.org/changeset/158944522
- https://www.openstreetmap.org/changeset/158944631
I just made these changes, so it might take some time for CyclOSM to update.

I kept the "bulge" on the landuse since that matches the expanded footprint of the block post-construction. Please let me know if any of my other changes need attention to better improve the cycling experience.