It is important to remember that "the value of 1 Queen is equivalent the value to 9 Pawns" is only an heuristic. It helps the players to make decisions but nobody wins only because he has more points.
And the values are not written in stone. For example, Knights and Bishops usually have the same value, that is like tree pawns for each one. But if the position is open the Bishops are usually more valuable and if the position is closed the Knight are more valuable.
I'm also completely sure that in "Chess with Queen" White has a wining strategy, but being completely sure is not a proof. (I have been wrong before!)
And the values are not written in stone. For example, Knights and Bishops usually have the same value, that is like tree pawns for each one. But if the position is open the Bishops are usually more valuable and if the position is closed the Knight are more valuable.
I'm also completely sure that in "Chess with Queen" White has a wining strategy, but being completely sure is not a proof. (I have been wrong before!)