Yes. This was what it meant to be the strongest.
Setting aside whether she was right or not, the White Queen was definitely stronger than anyone else in this world.

“We’ll have to agree to disagree here,” he said. “Are you sure?”

“But there is no compromise with actions born of weakness. You need to remember that. They say a cornered rat will bite a cat. …Well, just so you know, I’m feeling pretty cornered right now. Enough that I can’t smile and insist we play fair and square.”

“That’s fine with me. Everyone is free to use the power they hold.”