As I’m a woman, I’m not familiar with the gemarah. However, I don’t see how it’s possible for a woman’s chiyuv not to be d’oyraysa. The mitzvah of birchas hamazon is not a shehazman grama. It’s when you eat a meal, whenever that may be. The busha I can think of for a man to me yotzei by a woman is simple. Since birchas hamazon is mentioned straight out in the torah it’s a busha that he wouldn’t know it. He has a chiyuv of limud torah while a woman does not.
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