I'm not sure that's clear. On the one hand, hospitals may be more overwhelmed at the peak, as you say. On the other hand, as testing volume improves—and testing is still improving in the US—that should also help with the identification of COVID-19 deaths. https://twitter.com/jeffhauser/status/1247170197368250368

Hospitals have to decide whether to test very ill people whom they know/presume to have COVID-19 when it won't alter the course of care. And hospitals and other agencies have to decide whether to do posthumous testing. As more tests are available, they can do more of that.

So while there's no doubt that deaths are significantly underreported, it's not so clear how this affects the shape of the curve, nor things like comparisons between different states and countries, and there are plausible effects that run in opposite directions from one another.