LB- about school choice. From your post, I don’t think you understand the chareidi yeshiva system in Israel.
I am talking about sefardim trying to get into ashkenazi Yeshivos anad chadarim. This is not one or two individuals with extenuating circumstances (such as special needs, handicap accessibility, remedial education etc), but a widespread phenomenon. To the point where the sefardi leaders send there kids to these yeshivos (and have no problem getting in).
Most of the factors that you mentioned do not apply to the chareidi cheder and yeshiva system (boys only, minimal or no secular subjects, expected to stay within the yeshiva system, no internet use policies), so they are not a part of the consideration of where to send the kid. I am talking about when there are decent sefardi yeshiva options within the neighborhood, and still they prefer the ashkenazi schools. Tuition is minimal in all chadarim compared to the US, should be similar whether sefardi or ashkenazi, similar schedules/hours and will have similar hashkafos except for the obvious difference that one will stress sefardi halacha/minhagim/style of learning and davening and the other ashkenazi. Factors that will differ from cheder to cheder would be quality of educators, discipline policies, facilities, but again being sefardi or ashkenazi should not affect these factors. So it boils down to parental bias, community bias and who they want their kid to marry.