"So no other/extra code is needed"

Form 5329, 8915-E, and the list of reasons is at the IRS:

https://www.irs.gov/newsroom/coronavirus-related-relief-for-retirement-plans-and-iras-questions-and-...

Since the reason for withdrawal is a "self-certified" process, not all distributions are already identified as Qualified. It's being left up to the tax payer to confirm it is a qualified distribution.