Here's some quick math demolishing SSDD's pseudoscience fantasy.
According to wiki, Uranus radiates significantly less net heat (per square meter) than earth. (net heat = total heat radiated - absorbed solar energy).
Uranus - Wikipedia
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Uranus's
internal heat appears markedly lower than that of the other giant planets; in astronomical terms, it has a low
thermal flux.
[17][68] Why Uranus's internal temperature is so low is still not understood. Neptune, which is Uranus's near twin in size and composition, radiates 2.61 times as much energy into space as it receives from the Sun,
[17] but Uranus radiates hardly any excess heat at all. The total power radiated by Uranus in the
far infrared (i.e. heat) part of the spectrum is 1.06 ± 0.08 times the solar energy absorbed in its
atmosphere.
[12][69] Uranus's heat flux is only 0.042 ± 0.047 W/m2, which is lower than the internal heat flux of Earth of about 0.075
W/m2.
[69] The lowest temperature recorded in Uranus's
tropopause is 49 K (−224 °C), making Uranus the coldest planet in the Solar System.
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However, Uranus has a much thicker atmosphere than earth. Since SSDD's loopy theory says that it's the amount of the gravity-induced pressure gradient that creates heat, and Uranus has a far, far larger such gradient, then Uranus should be generating far more such heat than earth.
But no, the opposite happens.
Hence, SSDD's kook theory is conclusively proven, by the math, to be totally delusional.