Probably OK. I had my radiator for a few years before I went to paint.
This is what I did in 2005, figured it is easier to show you the "during" modifications because it illustrates the material removed - the tape is there to give me better guide marks for cutting:
In 2014 when we were painting and modifying Sam (fabricator) cleaned up the edges and gave it a rolled lip when he was making the lower radiator support and doing the other work in the area: