I checked the other head and the lash is off. I don't know by how much but a 0.008 feeler fits easily so really loose. I took out the rod on this side and it looks fine.
One thing I noticed is that the oil under the valve cover is not the same oil in the motor. The motor oil is fresh and clear but the oil under the valve covers is syrupy and dark. Blocked oil passage or just old oil langishing? I don't think the original owner ever changed the oil because it was thick and dark as molasses when I first got the mower.
I think I'm going to change the rod, set the lash correctly, and cross fingers. I may try some of that seafoam crap or ATF or something to maybe clear out the oil passages (?). Then change the oil. Run it for a bit then check under the valve cover again to see if it's getting new oil.
Picture for those interested:
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