Sorry I didn't get back on last night
Here is a picture of Dylan's skin from when he was younger. Sometimes it was better than this, sometimes worse, but this is kind of middle of the road. It was/is definitely itchy, he used to scratch and scratch at it. My very first post on BW is actually about his eczema and poor sleep!
I did a total dairy elimination for 1 month (including trace and hidden) and didn't really see a change in his skin so I reintroduced. However, hindsight being 20/20, we now know that he has multiple food allergies, so even though I eliminated dairy, I was still eating eggs, peanut butter (and much more than usual!), mustard, etc, which is likely why his skin didn't improve.
EDs really are a process of trial and error, and only you can decide if it's worth a try. If she's sleeping well, feeding and gaining weight well, and generally happy and content, then maybe an ED isn't worth the bother. But you might do it and see results in days, with better diapers and improved skin. (((hugs))) it is a tough decision