recharacterization means changing the type of IRA for that contribution or part of it.
Instead of taking out the excess you could have recharecterized the excess. That would give you two IRAs of different types.
But you did not know that at the time.
If does not have to be related to a conversion
The income limits have not been removed as you can see by looking at the page.
If you want to have two IRAs, Roth and traditional you can contribute as allowed by your MAGI
