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I do confess I was merely attempting to demonstrate, quickly, that multi-sectoral RBC models do exist, are old, and are somewhat well-known (which is why I dredged up a New Keynesian's brief summary of it rather than any papers focusing on multi-sectoral RBC - it was the only mention I could dimly recall and google in a hurry). Mankiw is certainly not pushing RBC here.
But never mind that. The standard model has workers and employers searching for each other, with associated empirical predictions etc. on labor markets. Yours has entrepreneurs searching for, presumably, what consumers want to buy (?). So at least some of the similarities hold - we should be seeing lots of different experimental attempts, shouldn't we? But the conventional wisdom is that startup formation and R&D investment is procyclical, not countercyclical.
It may be different this recession, of course, but of that I have not heard any new data. Have you?
Technological explanations have a long history since Kondratieff. Since most firms are me too firms or bridges between existing and new firms created in response to a pioneers success one probably couldn't tell from numbers but perhaps from breadth or success, though success should be easier since there is reduced competition at such times.