Concur, as long as the brass isn't failing. Expansion and contraction, they will develop cracks. Solder will fix them for a while....but eventually they are toast.
First one I ever ran into that was that way was on a 1959 Ford......but seen a lot more since.
A good radiator shop should be able to open yours up and know what they are looking at, as to whether it is salvageable.
Dave