women reciting birchas haTorah

I thought this was an interesting sevara.  Someone suggested that when women say birchas haTorah they should have to learn a halacha, not just recite the pesukim of birkas kohanim.  I assume the logic here is that even the Beis Yosef, who holds that women cannot recite  birchas hamitzva on mitzvos they are exempt from, agrees that women can recite bh"t since they are obligated to study the halachos that apply to them (there are other explanations as well).  Since learning halacha is the mechayeiv of the bracha, it follows that they should do so right after saying the bracha.

R' Ovadya rejects this out of hand.