No. I believe what you're saying is very likely to be true, but we know there's both positive and negative feedback and we don't really know how they really will interplay and where all the tipping points are.
There may even be significant phase delay in these mechanisms and so we could even get oscillation.
Edit: I'd be happy for you to educate me how I'm wrong btw, since that would mean I've missed something significant, which would make me happy! So please do tell me if you know of such a mechanism.
There are all kinds of things that have time lags from years to centuries, though, that could cause ringing (ocean heat uptake, rates of carbon uptake as the biosphere adapts and shifts, etc).
Indeed, we have evidence of ringing in the geologic climate record-- like Dansgaard-Oeschger events. We also live with ringing in weather systems like El Nino. Warming intensifying or creating new modes of oscillation would not be that surprising.