Well obviously not from what I quoted earlier and also I remember Rav Eliezer Waldenberg saying it does not apply to saving- many Rabbis dont hold by that today. Rav Moshe would also consider many people today who are kohanim not to be because he requires more proof than most poskim. Rov Moshe also says its only when all else is equal which we could never know. So one way or another halacha has adapted not to follow this order lemeisa.
I would challenge you to tell me one real-life case this has actually happened where a man was saved before a woman because of this. It has been relegated into the impossible and non-practical.
It is NEVER followed in real life. Does hatzola follow this order? Do doctors? Do frum firemen? No one follows this lemeisa.
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