I don't have a problem with the non-linear curve/area calculation - I assume the resulting distorted bell shape probably reflects every actual epidemiology historical plot out there.
The key here, however, is how IHME assumes we'll ramp up to a peak of 2.9k in 13 days. To get there, we'd have to experience the type of % growth Italy recorded 18 days ago. That of course is during a period when they were still in the throes of trying to get a handle on the situation. If we use an 8 day lag, then the growth % drops way off because that's when Italy began to reflect the lock-down impact.
So, the big question is: Why assume the US is in a similar position as Italy 18 days ago? Because that's what's necessary for the 4/16 peak of 2.9k and 93k total by 8/1 requires. If we assume we're reasonably tracking Italy day for day (and even that is fairly conservative, because what if we're actually *ahead* in terms of pushing down the curve?), then we're going to be off both the peak and run out number.
It may be hopeless to ‘fit’ a curve for the entire US. We’ll have several outbreaks with different times for their peaks.