It’s not a useful term because it completely ignores the obviously prominent Roman aspects of the empire.

When I first encountered the term “Byzantine Empire” when I was younger, I had no idea what it was. It took me a surprisingly long time to recognise that it was at all connected to the Roman Empire. It’s unnecessarily confusing for laypeople (especially kids), imo, especially when there’s better terms to use.

I prefer to use “Eastern Roman”, as it places emphasis on the Roman characteristics of the empire while also distinguishing it some from “THE Roman Empire”.