A superficial BCC can present as a pink patch, but it is distinguished by its shiny, pearly border, a feature absent in an eczematous plaque.
This is typically a single, persistent, and asymptomatic scaly plaque (SCC in situ), unlike discoid eczema which is usually itchy, may have multiple lesions, and responds to steroids.
The classic differential, tinea corporis (ringworm) is distinguished by its raised, active, scaly border and central clearing, and can be confirmed with a positive KOH test.