If your child had eczema, did they also have problems with diaper rash?

LO has some eczema patches if we get lax on bathing / lotion. DH has severe eczema, so it is genetic. LO also has had diaper rash for about 2 months now... some better days and worse days, very minor ever since we cut out citrus and generic formula... but still not full gone. It looks best when using max strength diaper cream. We've tried all the other tips online and tried a week of yeast-cream. At this point I'm wondering if it is just really sensitive skin. Like I same, it's really minor - just some rough pink areas.