Similar problem. Put new rocker arm and new hydraulic lash adjuster in and cranked engine several revs (with spark plugs out) to build up oil pressure and the new rocker arm popped right out. Noticed that the #4 intake valve was STUCK IN THE DOWN POSITION. That is why the rocker arm came off. It was not in the down position when I first took the valve cover off.
Had nothing to lose so I pried the valve to the closed position, with considerable difficulty. It was stuck pretty good. Squirted some light oil on the stem. Put the rocker arm back in, cranked the engine for a while. Valve did not stick down again so I put everything back together. Engine started and ran fine. That was about 3 weeks ago. Added some Seafoam to the gas and an oil treatment to the oil. Started and ran the engine several times since then.
Yesterday started the egine and the problem sounded as if it was back. This afternoon, took the valve cover off and both the #4 intake and exhaust rocker arms have come off. For me this has always happened when starting the engine, not when the engine was running, so I think that the cause is the valves sticking cold from a buildup on the stem. In my car, a valve job would cost several times more than the car is worth, so I am just going to squirt some Kroil on the valve stems and try again.