No, I hadn’t cited anyone as being satisfied with a poorly run secular studies program. I was deliberating – myself – where a poorly run secular studies program fits in; I hadn’t cited anyone else on that point.
So all you can cite is Rav Elya Svei insisting that once there is a secular studies progam — which he agrees ideally should not exist but said he has it since he has no choice, as the Baalei Batim won’t send their kids to the Yeshiva without it — once you already have it, that it should be properly run. But I mostly conceded that point earlier in the conversation. The point you have been unable to find backing from any named Gedolim is that it is l’chatchila better to have a secular studies program. That is because they hold, as Rav Shach, Rav Ahron and Rav Elya, that it is a b’dieved that they have no choice about, but ideally it wouldn’t exist.