Hello,
I'm new at the forum and I have a 3.8 with just over 500 miles. I have not heard of this problem to my Genesis but I will be listening during engine start up.
I am ASE and I acquired a repair manual for the Genesis. To clarify some of the misconceptions, the 3.8 uses a "Solid Shim" as valve lifters, therefore it doesn't need oil to "prime" the lifters as it would on engine with "Hydraulic Valve Lifters".
Engine lubrication: Every oil filter has a built in "Check Valve" to prevent oil from completely draining back into the oil pan. this is designed to provide a quick oil pressure build-up and engine lubrication during initial start up. The Genesis 3.8 uses an oil cartride, and looking at the repair manual, I could not tell where is the "Check Valve" located, but surely, there should be one, (as it would only make sense to have it).
WRT the use of oil weight: The repair manual also recommends 5-20W, there are many reason for recommending this oil. The engine has "Tight Tolerance" (clearance between moving parts), that it needs a thin oil to get into those passages. The oil actually "cushions" this moving parts to prevent wear. Additionally, this 3.8 engine uses Variable cam timing to maximize fuel and engine efficiency. The oil, via solenoid valves actuates the cam timing as commanded by the ECU. If the oil is think enough, and does not move the cam, it would significantly affect the engine performance.
I'm sorry to hear about the engine noise, but if I do hear it mine later on, I would try 5-30. I hope it is the injectors that are making noise, as I have heard noisy injectors before. If not, there are many other engine components that could make the initial noise, not completely eliminating the "valve shim", I also have seen valve shims that aren't within the specified thickness causing the noise, but if it is, the sound will stay regardless of warm or cold engine.
This doesn't give you the answer you need but I hope it would help some in getting to know the 3.8 engine a little bit.