Actually he’s saying that he originally thought that, but when the Supremes upheld the Hyde amendment, he decided that this perception was wrong...
Ginsburg is a she. :) Other than that one quibble I agree with you.
I think she said it was her assessment, but she realized she was incorrect. She never said if she agreed with her assessment or not.
I think what SHE was correcting, was her thoughts that Medicaid was to pay for it. Not about HER Population quip.