Sorry Scott, but you are on the right track.
Zen gets the cookie. The valve stretches at the area where the stem starts to flare out to the head of the valve. If you have ever seen the results of a" dropped valve", This the area on the stem where it stretches and finally breaks off. If your ex. valves keeps losing clearance I would be worring a bit about "dropping a valve" or losing a valve seat(type-4).
I have done valve jobs where I could see where the stem was stretching out then drop the valve on the floor and have the head "pop" off. Secs. to "Ka-Boom".
Scott, The only thing I have seen a push rod do is either break, bend or compact on its self (stock push rod). In this case you would gain valve clearance, but anything can happen.
Once the stretching begin its all over for that valve and even when the valve is stone cold you still have minus "0" clearance.
The number one culprit----Ing. timing. There are other causes. "Grass Hopper", You can come to the "Big House" now, but you will have to bring your own "Tippy Tommy" cup. :lol: :lol: