It was demeaning and the reason for the girl's refusal. He called the mens team after the game. He invited them to the White House. Then said 'I must tell you were going to have to bring the women's team , you do know that. I do believe I would probably be impeached if I did not invite the woman team."
You are being bone headed. It said he was forced to invite them; he would not if he was not compelled. He suggested that there was a penalty of impeachment if he didn't. That means he would not if he were not forced to.
The whole point is, he did not gladly invite them. That was enough for the girls. They deserved the same respect as the men.