No because assets and their place in capitalist enterprise represent control. I.e. an owner has fundamental rights to use workers according to the owners needs, and the owner also has the option to advertise and otherwise facitate propagand and take part in political process, including lobbying and corruption to affect circumstances outside of their direct control for example customer demand and government regulation, all of this control is proportional to the absolute wealth of that person family or group.
Obviously this is not to say the owners are in full control of all of their workers and assets individually, it’s just that they decide the system that all workers must use and this has an obvious effect on the things these workers do.
So the useful metric is certainly not pollution per $/person but one that is proportional in some way to the total wealth.
Sure this control can be mutually beneficial for the owner and the society at large, but it’s pretty clear now that with fossil enterprise especially, this is not the case, control gained from extracting an unfortunate life necessity from the ground, a resource that is set to destroy life on the planet as we know it, should not be able to be used for anything but to replace itself as quickly as possible, the tactic for the last 50 years from these owners was the opposite.
But only for the 4 weeks a year you spend in unusually cold weather, the other 48 it’s more efficient.
It’s not like truly arctic places are a reasonable application but the overwhelming majority of our population lives south of Quebec and north of Wellington. So it’s not a relevant point, everyone in the Arctic can just use resistive heating or burn fuel, and if we get everything else on heat pumps we reduce our enegy use by a factor of 2-3 regardles.