Thanks so much for the info! I really appreciate hearing from someone that's familiar with the treatments.
I don't have any of those symptoms you mentioned, so I am reasonably confident that I don't have eczema or rosacea. The red area is mainly on my nose and chin- areas that I get a lot of sun on when I ride. I wear an spf 15 sunscreen every day and spf 45 when I am going to be outside a lot (either on my bike or otherwise). Even so, I haven't always taken such careful care of my face.
As for other skincare products, I tend to just stick to warm water on a washcloth. I've found through years of experimentation that no matter what cleanser I use (dry skin/oily skin/unscented/medicated/etc), my skin gets oilier if I use them every day. I rarely wear more makeup than a little concealer and mascara, so I don't feel like my face needs much more cleaning (I definitely could be wrong, but it seems that my skin is "balanced" that way).