Of course solar will result in a net cooling. It's replacing fossil fuels which don't generate their electricity by siphoning off solar radiation that would have warmed the surface of the planet.
Your argument is over stating the energy absorption of solar cells, and missing the main point of global warming.
The amount of solar energy converted to electricity by solar cells is very small, about 20%.
So solar cells do not do much for global cooling.
And the earth would be cooled off much more if the solar radiation simply left the earth, by reflection or radiation.
Plants are about the same efficiency as far as solar energy absorption, but plants cool the earth much more than solar panels.
That is because plants absorb CO2, and CO2 is the man moderator for whether the earth cools or warms.
Why?
Because the vast majority of the solar energy that hits the earth, has to leave, or else the earth would be like Venus, with the surface the temperature of molten lead.
And the % of solar heat retained depend on the CO2 concentration at the very outer layer of the boundary to space, because at that layer, CO2 converts photonic radiation into vibratory heat. And vibratory heat can not leave the Earth. It can not conduct or convect into space. Only photonic radiation can.
Why only CO2? Because other greenhouse gases, like water vapor, condense out at much lower altitudes, leaving the job to CO2 alone.
So normally plants regulate the Earth's temperature, by absorbing or releasing CO2.