The paper is explaining why increases in carbon cause the bottom and top of the atmosphere to heat more than you'd expect, while the middle layer cools more than expected, and why those are linked to the carbon level.
You're misstated what the chart says, Serati. Look at it again.
The blue line is temperatures at 150 ppm CO2. At 40 km, the temperature is about 0 degrees C.
The red line is temperatures at 600 ppm CO2. At 40 km, the temperature is about -30 degrees C.
At the top level, there is a
decrease in the amount of heat, not an increase.
If solar radiation increases or decreases by even a small amount, or penetration of solar radiation changes in any way, there will always be an impact on the climate. Carbon's impact is based on the underlying solar radiation.
You are correct as far as you go. Increased insolation will increase the greenhouse effect and increase the Earth's temperature. It will act as a
multiplier for the increased insolation.
So for that alone it is a problem, in that it makes the problem of natural heating even worse.
And, as CO2 levels increase, it increasingly make the problem worse.
But remember, scientists are tracking how much insolation the Earth is receiving. It is being taken into account. And so far there has not been seen an increase in insolation that would account for the increased heating of the Earth.
Only when you take into account the multiplicative effect of increased greenhouse gases can you account for the increases in temperature.
And the multiplicative effect happens even if solar insolation remains constant.

So it really doesn't matter if there is an increase in solar insolation or not. Temperatures will rise from increased greenhouse gases whether there is increased solar insolation or not.
The cooling above the stratosphere shows that.