I fancy my self to be a culinary snob, and I prefer cooking on my venerable Trangia. The flame front is spot on perfect for cooking and then there is that marvelous simmer ring if you need it. I have not done omelettes as there is that whole eggs not packing well thing, but I am pretty sure I could if I wanted to. I have not done pancakes either but I will try that on my next trip.
I have cooked both eggs and pancakes on a Trangia, and have done just fine. Even with the mini-Trangia (28) set. Yes, you have to watch them carefully, but you can do it. I don't have any photos of cooking eggs, but I just so happen to have a couple of cooking pancakes. Ironically enough, the caption on my flickr stream for it is: "The perfect pancake. Who says you can't make pancakes with a Trangia?"