Tests I've seen showed compound boost systems are less efficient than normal forced induction systems. Size it right and you can achieve your objectives without the addedd complexity, heat, cost, and loss of efficiency. Whipple 3.4, or 80+mm turbo. Some 76mm turbos would also get you there.
You are 100% right...BUT...
I still haven't seen one done the way I want to one day. Everyone who does compound boost always pulley's the Eaton way up, like 14+ pounds of boost. Well, it's already out of its efficiency range then anyway, even without the turbo(s), and of course the IATs are going to be high; the A2W intercooler can barely handle the blower. I want to see one done where they fully port the blower, put the stock pulley back on (8 pounds of boost max), and
then throw a turbo on. Using a ported blower and not spinning it outside its efficiency range would certainly keep the temperatures down to at least a more reasonable level. Now, could you take the blower off, run the same total boost just on the turbo, and make more power? I have no doubt you would, but I don't think it'd be nearly as much as it is on the tests that you and I have seen in the past. Plus, that low end, roots-blower torque (from the 8 pounds of boost) is the reason why most people like these cars anyway.
I also want to see one done with a proper water/meth setup. People have (and continue to) tell me that there's no way my non-intercooled M112 can make any significant power. Well, when you hit it with enough water/meth to cool it down (it takes a LOT), the thing will make power. And the tuning is fairly simple, too. I'd like to see the same water/meth and tuning principles done on a high boost, high horsepower compound boost setup. I think it could probably make 900+ on pump gas, and definitely make that much on E85.