Heat pumps are more than 100% efficient at heating the house, which is what we want, and one of the places where we are on the same side as thermodynamics.
As in you’re merely absorbing some of the heat from the sun to then move existing heat around?
Frankly, even without solar power it wouldn’t generate “extra” heat directly over a long timescale, it would only accelerate the release of existing “heat” currently trapped in oil/gas/nuclear/etc.
Once the heat is captured by the solar panel, I think you’re right using it for a/c is neutral - just moving heat around.
As for burning stored energy, that has to play into the heat dynamics of the globe. Like if you release it all at once it stops processes that would remove it from the atmosphere (animals and plants die), and it creates runaway heating feedback loops. there is some level of burning stored carbon that the planet can buffer and absorb and results in no change in global temperature. So burning stored energy in excess of that is a big problem. Like how you can sit or walk without noticeably sweating, but running causes you to have to actively cool yourself by sweating.
And the Delta(T) that an AC has to work with are far more favorable in AZ summers than a heating heatpump in MI's upper peninsula in the winter.