Yes, if it's really bad. If it's not clogged up and only has a couple pinholes in some of the tubes, I'd fix it.
My Cadillac has its original radiator and has had pinholes soldered about 3 times in the last 23 years. Other than that it isn't clogged up and cools properly.
I would verify the actual condition of the radiator before assuming it needs a total recore. The local radiator shop here charges $65 to boil out a radiator and seal any leaks.
