New MassGIS L3 Parcel Map offset?

I had previously aligned many areas to the MassGIS L3 Parcel Map that used to be a background image before the Dec 3 update to v2.120. With the new MassGIS L3 Parcel Map (now an overlay) all my old work is now offset by +0.05 horizontally & -1.29 vertically.
Was the old parcel map wrong or is it the new map?

The best group to ask would be the Commonwealth of Massachusetts, since they’re the ones providing the data. They should be able to explain why the data has shifted and which version is considered more correct.

The offset seems too consistent to be due to the map updates that towns will do occasionally. I was thinking it was more likely that the new and old maps were re-projected from NAD83 to WGS84 differently. I thought that the old parcel map was re-projected by the osm people and hosted on their servers so MassGIS would have no idea what OSM did with their data.
I am not an expert on this stuff though. Doing some googling I found this on wikipedia:

"North American Datum 1983 and WGS 84
"The initial definition of NAD 83(1986) was intended to match GRS 80 and WGS 84, so many older publications indicate no difference. Subsequent measurements found a difference on the order of a meter over much of the United States. Each datum has undergone refinements with more accurate and later measurements.

“NAD 83 is defined to remain constant over time for points on the North American Plate, whereas WGS 84 is defined with respect to the average of stations all over the world. Thus the two systems naturally diverge over time. For much of the United States the relative rate is on the order of 1 to 2 cm per year. Hawaii and the coastal portions of central and southern California west of the San Andreas Fault are not on the North American plate, so their divergence rate differs.”

So I guess that would explain it.