A copy of the original does not have to be an exact duplicate of the original artist's work.
It should, however not be renamed & signed by the copying artist - which would imply that it is the copy artist's original work.
If it is properly signed by the copy artist, identifying the original artist - there is nothing wrong with doing that.
I agree. I have a cousin who does fabulous copies of great master works. She never tries to claim she owns the originals though she signs all her works as far as I know. She is very talented at even matching the colors. IIRC, she frames her paintings and places a photo of the original on the back, with short explanation. Her work is so precise, I asked her first time I saw them if she used paint by numbers canvases. She was not amused.