My examples aren't famous monuments, just points that I have had occasion to work with for my own purposes. One of them is the NE corner of Section 33, Township 15N, Range 8E in Santa Fe County, as shown on the USGS 7.5 minute quadrangle "Picture Rock"

That point measures as 35 deg 29 min 26.2 sec N and 106 deg 5 min 21.3 sec West on the USGS quadrangle "Picture Rock".

When I hover the Google Earth cursor on the same point, I read 106 deg 5 min 23.3 West in the caption on the bottom of the GE view. I won't quibble about one or two tenths of a second since the cursor itself is bigger than that, but 2 seconds is unmistakable.

I found similar discrepancies with a USGS topo map in California and a USGS topo map in Puerto Rico, but didn't note down the exact points at the time.

If you have a USGS topo map handy, I would suggest picking any point you can conveniently identify and carefully measure its position, taking care to apply correct scale factors to your ruler, then find the same point on GE and see for yourself. The measuring is simpler (or a non-issue) if you pick a point that is near (or already precisely on) a latitude/longitude mark on the map, but that may not happen to be something distinctive that is visually obvious on GE. If not, then you may need to go through the tedium of measuring somewhere not near a lat/long marker.

I am surprised if this is the first time this issue has arisen? When GE first came on the scene there must have been dozens if not hundreds of amateurs and professionals who would have made it a point to check out the accuracy compared to already established maps, and USGS topos would have been the most widely available for comparison. Is this really the first time the question has come up ?