GAW:
There is a serious problem with your statement. You seem to assume that Rav Shteinman’s statement was specific to that situation, but that the exclusionary policies are otherwise acceptable. My reaction: Chas veshalom. At the very least, the dinei nefashos of allowing a child to have no yeshiva (Chazon Ish – a general psak) must be posed to a Gadol beYisroel. If this will be done, it will become recognized that the blanket, default psak is that no talmid should ever be left yeshivaless. It will be seen that the rare exception is to refuse a talmid admission in yeshiva. Furthermore, if you view the video carefully, Rav Shteinman makes his statement as a general issue, not a specific psak. Unfortunately, the menahel that posed this question to Rav Shteinman is a yochid. Most menahalim make their decisions without any effort to seek the guidance of anyone else. Their decisions to expel talmidim are also made the same way, without any consultation. I dare you or anyone else to query the average dayan or beis din to assess how many shailos are asked about “little things” versus questions about chinuch. The answers will shock many.
Gedolei Yisroel have spoken out about chinuch, the non-Torahdik policies related to admissions and expulsions, the logicless restrictions in rules and bizarre patterns of “discipline”. Trouble is that their voices are going unheard.
It is commonplace to have Gedolei Yisroel write letters to force admissions for both bochurim and girls to be accepted in yeshivos. Why must Gedolim be busy with matters that should be normal? This picture is frightening, and there is no place to intervene. Each yeshiva may even agree that this issue is problematic, but prefers waiting for other yeshivos to take their heads out of the ground first. This issue is complex, and nothing great will bring about change quickly. But for the sake of continuity of Torah, it better.