Hello Yvonne,
we are not in the house yet - we would be soon, but the handover is delayed by another 4 weeks. Therefore, we haven't done anything to the doors yet.
However, we have thought about it back and forth again, we are not 100% sure yet, but after seeing a self-painted door frame by someone who can probably do it better than us, we are tending more towards a new door frame again. It just didn't look even, a bit like orange peel texture, and it also differed from the white of the door and therefore looked "dirty".
But we are not sure yet, it sounds so simple here...