This statement typifies the errant mindset underlying the article. God the Father does not make mistakes, Jesus the Son does not make mistakes, the Holy Spirit does not make mistakes. All of the "mistakes" you perceive are intentional actions taken to accomplish the plan conceived before the foundation of the world. They are just too clever for your author to understand how they fit.
I reread the article. The word “mistake” does not appear anywhere. The point of the article is that even when Jesus himself preached in person, some people were too hard-headed to get the message. And they had freedom of choice to go their own way (to disaster, but we have free choice).
I don't see an accusation of a mistake there. Perhaps it would be better said with a little punctuation:
"There are some things even God can’t do, not because he has no power, but because he respects our choices."
Though I'd personally think replacing the "can't" with "won't" would be better, there is a point to be made there:
God gave us free-will, to override that will or even limit it, is to make it no longer free. (That is, the idea of a "limited free-will" is self-contradictory.)
Amen