Username vs display name

Understand which identity field must be unique and which one your audience sees.

QuestionUsernamedisplay name
UniquenessUsername is usually uniqueDisplay name is often reusable
Profile URLOften controls itUsually does not change it
Best useStable identity and mentionsReadable brand or personal name

Bottom line

Check and protect the username because it commonly controls mentions and URLs; use the display name for readable branding.