The sun was created after the earth. In that case, you have no such handwringing to aid you. Explain in light of that (no pun intended). Furthermore, the sun offering energy is quite apart from any capacity to make use of it. Simply adding energy to something doesn't make it an open system. Nor does it make that energy useful. And adding energy is destructive if there is nothing that can harness and use it. You're essentially mistating the case in a dishonest manner.
All of the available evidence points to the opposite conclusion.
Simply adding energy to something doesn't make it an open system.
What is your definition of an open system, then? I fail to see how a system with an external energy source is not an open system.