@Thomas,
Simple, as an example or application of my wider argument: Given that the sun emits energy in all directions (up and down from the ecliptic plane too of course) and all around the very very large solar system (expressed in light-minutes & hours), the amount of solar energy that could possibly be captured by the very very small sub-system earth (expressed in km) is very very very very small in comparison to the total energy of the solar system (expressed in joules).
Redo the same reasoning with the total average temperature of the entire solar system (expressed in kelvin). See if earth shows up as more than a blurp on that radar.
Entropy is expressed as energy/temperature.
ERGO, whether earth existed or not would NOT change the total entropy of the solar system in any discernible manner.
But of course, life itself is only an absolutely minutest fraction of the thermodynamic system called earth...
Should I go on?