Just because I have never refaced an anvil before, dose not mean I have no experience using one!
If you asked yourself who NEEDS a particular radius on an edge to do the same job over and over you would come up with a short list of trades.
It is not about perfect, but what is needed for the job in hand.
If I knacker it by welding it, so what, it can go back in the scrap pile, but if i make it good, then i will have a third anvil at a handy in-between size. I do weld and have done for 20 years.