Range is far more important. It's tied to accuracy. Not only will damage falloff start sooner, but with low range, you lose bullet magnetism sooner too. If you want to be able to hit critical at a decent range, you need a higher range stat. As long as stability isn't minimum, you really won't notice a giant difference.

I prefer stability. Can't hit a target if you can't control the gun. Applies to real life also.