Here's the EIII at the san diego museum and as you said the cowl has the squigles.
Warning, the squiggles on the San Diego replica look HIDEOUS and are nothing like what you see in period photos! In fact it looks like they had some kid finger-painting on it. The squiggles need to be much denser and are also of a different, smaller, and more random shape. I did a lot of practicing on bits of scrap aluminum (definitely visit the Dollar Store nearest you) until I had a pattern that looked right. Some of my early experiments looked a bit too much like Arabic! Finally, I started to try to think like a factory worker who has to do as many as 10 of these each day and just sort of settled into a mindless routine of filling up all the cowl space with short bursts of squiggles (about 1-2 seconds each) with the electric eraser.