I have thought it might be worth seeding responses with the output of non-reasoning models, so after the user prompt, inject a block of "a non-reasoning model

I have thought it might be worth seeding responses with the output of non-reasoning models, so after the user prompt, inject a block of "a non-reasoning model thought this:... stuff ....Was that what the user wanted?" For the instances where the non reasoning version was sufficient it might help the reasoning model get to the point earlier.