I don’t think there really is a “stable” state that we can point to, just because it is always changing based on the climate conditions, and we have very imperfect data for talking about what it was like even a century ago. I’m also not certain that we haven’t hit a tipping point, from what I’ve read we’ve started to enter positive feedback loops climate wise, so the Earth would keep warming a bit and then stabilize to a warmer-than-it-should-be level even if we stopped polluting now. That would definitely continue to impact the currents.