I'm almost done using up a roll of 63/37 solder I purchased from Radio Shack in 1989. Solders fine, but is a little large diameter so it only gets used when I don't prefer the thin solder. If anything happens to the flux, it is only at the exposed tip. The biggest problem is probably oxidation.
Once you get to solder paste, that is a different story. The flux is around the solder, rather than the other way around.