Just in case it saves one person the effort to research this themselves ... for some reason I find the measurement of climate change in units of temperature a bit problematic (though entirely rational). It tends to suggest the old bugbear of "global warming", which of course gets translated by deniers (& skeptics) into "well it's colder here so that's wrong". I spent a while digging in to try to get some numbers on a…
What your energy look describes is dT/dt, how quickly we will reach the new equilibrium.
At the new equilibrium, the temperature is likely still to be the best descriptor of the new normal - we describe most processes and states in terms of temperatures they happen at, because it's and intensive property rather than an extensive one. You don't have to temper this 300 TW number by the mass or surface area of the earth to get a sense of what's happening when you use temperature
What's the energy number at which a glacier will melt? What's the temperature?
∆T is one of the most important numbers in thermodynamics for good reason