Are you serious?
Doesn’t lo tanu et ha ger mean anything to you?
If the S”A says that a ger who worships avodah zarah the next day is still Jewish, than certainly a woman who doesn’t cover her hair is still Jewish.
The wives of scores of Litvishe roshei yesiva didn’t cover their hair, including Rebbetzin Tonya Soloveitchik, a”h.
And, R’ Yosef Messas, Teshuvot Mayyim Hayyim, says that b’zman hazeh, a married woman’s hair is not considered ervah.
The Aruch HaShulchan paskens the same, regarding kriat shema.
And, Rav Elyashiv’s statement is attributed to him, but there’s no way of proving that eh really said such a thing. Don’t insult the man by claiming he’d say such a thing, which falls under the category of elu devarim she’ein lahem makor, a pun I came up with based on the Mishna in Peah.
Yytz, kol ha kavod for being a voice of reason, gadlus, and sanity.