Is it valid to cite the statement of Ibn 'Umar (may Allah be pleased with him and his father): "There is no running for women at the House or between al-Safa and al-Marwah"?

The Shaykh : Ibn 'Umar (may Allah be pleased with him and his father) said: "There is no sa'y, meaning running, for women at the House or between al-Safa and al-Marwah", narrated by al-Bayhaqi. Is the statement of Ibn 'Umar correct? Can we cite it as evidence?
Answer: If the intent of the question regarding correctness is, meaning, citing it as evidence,
then the answer is: It is not cited as evidence, whether its chain of narration to Ibn 'Umar is authentic or not, as long as it is not traced back to the Messenger of Allah (peace and blessings be upon him). Because the origin of running, specifically between al-Safa and al-Marwah, its legislative basis comes from the wife of Ibrahim (peace be upon him), whose name was Hajar. Yes, Ibrahim (peace be upon him) left her, so she would check on his news. Once she ran between al-Safa and al-Marwah, this running, and from part of it, Ibrahim (peace be upon him) came. This is a long story narrated in Sahih al-Bukhari. This running became, in later times, a recommended act of worship for men and women. So how can it be said that what was originally legislated from a woman is not now legislated for a woman? This is as far from the truth as it can be.
As for running around the Ka'bah, the answer is: It is possible to say here that this running is specific to men, not women. The reason for this is that the original legislative basis for running around the Ka'bah, as it came in the authentic Sunnah, was for the Messenger of Allah (peace and blessings be upon him) to show his companions the strength of his companions to the polytheists who said . The Messenger of Allah (peace and blessings be upon him) learned of this either through revelation or through a messenger. So he ordered the Companions to run to show that the reality is contrary to what the polytheists thought. And there is no doubt that the place for displaying strength is not women, but rather men. So from this aspect, it is possible to say: That running around the Ka'bah is specific to men. I say "possible" because, in truth, I do not have an answer in the matter yet, as I do not recall a definitive proof on the subject. Perhaps Allah will facilitate a definitive answer regarding running around the House in the next gathering, if Allah wills. As for between al-Safa and al-Marwah, there is no difference in that between women and men.