Final resolution: it passed.
I ran a drive cycle and the EGR monitor didn’t complete. Mrs JT decided to go back and get the van tested again since it doesn’t cost extra. She ran a drive cycle on the way to the emissions test facility. I told her to get a tech to test it and discuss it with him if it failed. They talked anyway and he said that Odysseys often failed because of a software problem. He thought our van would fail again, but no! It passed.
Mrs JT said that two years ago she had the same problem and took it to the dealer. She said they reset something and it passed. They didn’t have it long enough to do a drive cycle. Sure looks like there is some sort of software issue. At least we don’t have to worry about it for another two years.