If your engine was working well until you put your fingers on it, You should not find "wet" oil on your spark-plugs. Any working engine will NOT have wet oil in the combustion chamber...it will not survive as a liquid in there.
If you are having serious engine-issues like no-start, smoking blue as hell (and i really mean hell) etc, then your piston or rings must be in a terrible condition beeing able to squirt oil through the piston/ring assembly (very unrealistic). and if it was running with allot of smoke, your sparkplugs would revile that easily with HEAVY carbon debris all over it, and it does not sound like this is your problem.... your problem is wet oil on your plugs.
With that said, Leaking Valve-covers are common on 1JZ's.
And yes, when they leak, allot of the oil gathers in the "valley" where the sparkplugs are, filling up the plug-holes.... some may have just a few mm, others may have 1cm of oil. The rearmost cylinders are mostly affected usually (Stock 1JZ has a slight tilt backwards)
So when you then remove the plugs without noticing the oil in the valley, the oil WILL try to enter the cylinder through the spark-plug hole..... But you have not removed the plug completely yet, so the oil instead starts to slowly creep down the plug.
And when you then get the plug out, and inspect it, you say, "oh fuck, OIL on my plugs!"
When it in reality is a valve-cover gasket leaking, really.... Belive me, I was exactly where you are now two years ago.... but when I put my flashlight down the spark-plug valley, I could see the rest of the plugs soaked in oil.
Valvecover-gaskets where replaced, and its never been a drop of oil there ever since.
So don't take any conclusions yet, thats my advice.