GAW – I could think that your idea of types of yeshivos would make sense, but in our generation it would destroy the Klal. Why?
Because there wouldn’t be enough money for the non-elite yeshivos. Most of the rich people who donate only for Kovod, wouldn’t support the non-elite yeshivos. These would crumble and only the elite would remain. So how many elite are they? Sholomo Hamelech said one out of a thousand. So implementing your idea would have almost noone sitting and learning full time.
So what the yeshivos do nowadays, is either say they are all elite or they say they cater to BT’s. This is the way they financially survive. Some take gov. money as colleges, but that is going to dwindle due to the new budget that is being passed in Congress. Sad, but this is the reality in our generation.