The 6.2 will wake up, for me it was around 10000 km. You'll go from, "huh, thought it would feel faster", to "holy ******, about damn time". 0-100 mph is effortless and you'll slam into the speed limiter like you just hit a wall. I'm on 18" wheels, and yes it does make a difference.
I think gm severely undercut the l86/87's power. fuel economy, cost and the fact that they couldn't let it make the same or more power then the c7. Im willing to bet they have at least one or two intake manifold designs hidden away.
As things sit. You put a 6.2 intake manifold/throttle body on a 5.3, e85 or 93 for that matter... It really narrows that gap. you have to ask, why even make the 6.2 if the 5.3 will get the job done.