That is one thing about turbochargers that that it is not so nice in one respect - power delivery. Really, I think with the contact patch and suspension the Lotus should stick pretty well without the LSD. But, the problem is power delivery < 3500 RPM nothing, > 3500 RPM everything it has. So, it breaks free rather easily.
But, that Cleavor you and Roy call an engine with 500+ rear wheel would break free just about any time too, I'm sure!!