Finding something is job one. Determining whether or not that could possibly be a monument is job two. Making the final decision is job three. Too many only get as far as job one and assume they are ready to move on to another corner to search for. Numbers be damned, the description says "more or less" anyway, so who really cares.
Real land surveyors know that every piece of evidence is subject to scrutiny. Several months ago someone came on this site and was having a problem with a description. Several monuments had been found but they didn't match the description real well. We told him to look at a second spot in the road intersection something like 2.1 feet to the east and 0.9 feet to the south to see if there might be another monument there. He looked and he found. Then things came together rather well. He had found what he thought to be the correct section corner quite easily and did not question its authenticity relative to his tract. That made the other three corners appear to be in error.
Lots of cut off fence posts have been mistaken for corner monuments.
Kansas Monument Standards: "pipe not less the ½" inside diameter or a solid rod not less than ½" in diameter, and with a minimum length of 24 inches."
I have been following this post when this video from the CLSA showed up yesterday. This video represents the standard of practice I once followed but it is not the standard of practice that is followed where I practice now. enjoy.