[Avodah] Taanis Bechoros - Women?

[Akiva Miller via Avodah]

My eldest grand-daughter asked me why girls don't go to the siyum on
Erev Pesach, given the medrash firstborn girls *were* killed in Makas
Bechoros. So I read her Mishne Berurah 470:4, which gives the reason
as because there are no halachos in which female firstborns have any
such kedusha.

That seemed to satisfy her, but it didn't satisfy me. After all, if a
boy is his father's first but not his mother's first, then he has no
kedusha which would require Pidyon Haben.

Aruch Hashulchan 470:2 gives that same logic, but explains that
although the father's first doesn't get a Pidyon Haben, he *does* have
special halachos about inheritance, and Aruch Hashulchan 470:3 says
the same thing regarding a boy who was born after a miscarriage, or a
firstborn Kohen, or a firstborn Levi.

My question is: So what? Why is the special status of "firstborn for
inheritance" more relevant than "would've been killed in Mitzrayim"?

(Please note that there is another case that I'm *not* asking about,
namely, where none of the people at home was a technical bechor, then
whoever was oldest was subject to Makas Bechoros. Since that could
vary depending on who was home in any particular year, I can easily
understand why it never got included in the minhag.)

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