I live in NC, and Thom Tillis's and Richard Burr's offices both recognize me by caller ID and can tell me what I was planning to say before I say it at this point. Thus I called, again, knowing perfectly well it will do no good.
It's worth calling your Republican senator, but only because it's not much effort and you get to annoy the kind of subhuman that's willing to be a staffer for a Republican senator. If they don't know you, you might even manage to ruin their day. It's the little things.