Why Not Boost?

So, to give an example of my idea, as some people asked why is there a "reasoning model" when I said non-reasoning. The "reasoning model" is just an instant model trained to output text that looks like reasoning.

user: "how many Rs are in strawberry" (A)

↓ reasoning model(A): "The user is asking to count the Rs in 'strawberry'. s t r a w b e r r y, I see 3 Rs. Let me double check stRawbeRRy. Yes, 3 Rs." (B)

↓ summarization model(B): "The answer is 3 Rs in 'strawberry'" (C)

↓ answer model(A,C): "There are 3 Rs in 'strawberry'."