I have read these questions:
Where the comments say:
If the equivalence principle holds, why doesn’t a charge in a gravitational field radiate?
None of these talk about whether a charge in a gravitational field will not radiate. Or if they will in free-fall.
These questions say facts about the charge in a gravitational field, and in free-fall but they do not both say whether the charge will emit radiation in either case or both and why not in one case and does in the other case.
Why doesn't a charge in gravitational field radiate?
Does a charge in free-fall radiate?