Weird, I pulled that list of LS4 problems straight from someone on an LS4 forum. It has nothing to do with my 3800 knowledge.

So now you're talking about:
Cold air intake
Intake Manifold
Headers
Catback
mild Cam
and a Dyno specific Tune
All without a built trans
...Probably still done on a dynojet to inflate the numbers 12-15%...

That's a lot of work and money spent to lose to a supercharged 3800.