You get the same if you place solar panels in places around the equator, without all the messiness of orbital repairs and GW death rays. I can't see this being cheaper than just some panels on the ground.
The funny thing about solar panels is that they are the most efficient at very low temperatures. They'd be more efficient at the poles or high up in the mountains where they can be kept cool.
If only thermodynamics was this easy. Heat pumps ain't magic, alas, they are still subject to physical limitations, including the laws of thermodynamics.
Also keep in mind that cooling the hot part of your space heat pump is very limited: there's no convection nor conduction in space. You can only lose heat energy via radiation or ablation (= shooting away hot pieces).
I'm talking about waste heat from when you use the electricity.
Almost no matter what machine you are powering, be it a a toaster or a computer or an electric car or a washing machine, eventually turns all of the electric energy into heat.
(You can contrive some counter-examples. Eg if you point a sufficiently strong laser pointer at the sky, some of the energy will escape earth before turning into heat here.)
Please enough of them far away from Earth and you get pretty much unlimited energy all year round.