I do have build up skin around my lips, which is very likely closely related to my EC. Might be the inflammation that is causing the surrounding skin to also build up. Other then that, I now have an area next to my nose that's also very dry and flaky. And I do have sebh. dermatitis on my sculp, which has gotten better the last few months (me using a specific shampoo for it once a week).
In general, it seems like people with EC often have other skin problems as well (see the Google docs sheet someone created and uploaded).