Interesting perspective. When you listen to Church teaching that reproduction is the essential reason for sex, and/or as Card. Ratzinger taught so men would not engage in a "baneful encounter with himself",  then why should "Eve" be judged as sinful for engaging?  Rhetorical question.
It can only be that "Eve" rather than "Adam" initiated sex. Can anyone see otherwise? Makes our "teaching" seem even worse, no?