Shouldn’t be THAT paradoxical. Any energy that is trapped by CO2/water/methane/whatever and converted into heat lower down isn’t available to be converted into heat higher up.
A LITTLE bit of global warming is real and anthropogenic.
If every country on Earth confiscated every penny beyond bare subsistence from every person and spent it all on “climate”, they couldn't affect the global temperature by one degree or the sea levels by an inch. So it's a VERY little bit!