Does the greenhouse effect cause larger temperature increases at higher altitudes in the atmosphere?

The greenhouse effect is a phenomenon where certain gases in Earth's atmosphere trap heat, which helps to keep the planet warm. However, how this effect influences temperature change with altitude can be quite nuanced.

At higher altitudes, the atmosphere becomes less dense, and the concentration of greenhouse gases decreases. As a result, the heat-warming effects associated with the greenhouse gases are less pronounced at these elevations compared to what is experienced closer to the surface. In fact, the upper atmosphere can experience cooling instead of warming due to the diminishing presence of these gases.

In contrast, near the surface of the Earth, where greenhouse gases are more concentrated, the greenhouse effect leads to greater heat retention and higher temperatures. Therefore, the temperature does not increase more with altitude in the way it would at lower altitudes, where greenhouse gases have a more significant impact.

Considering this information, it is accurate to say that the greenhouse effect does not cause larger temperature increases at higher altitudes in the atmosphere.