I am not sure the death rate will rocket, but certainly the number of deaths will. It is just math.
This. ^
We're at 135,000 dead in the US, and it will be at 140,000 by the end of this week. Given the number of positives, that probably means that the actual death rate has declined, and I believe that has happened, but the number of deaths will increase because the infections are increasing so much. I think the death rate is down for a number of reasons, but I think one of them is that treatment is better. There are no silver bullets, but more people are getting out of hospitals. The elderly ill still have much to fear.
Two or three months back (I didn't look it up) a member of this forum asked to be waked when the number of deaths went past 60,000. I think we'll be at two-and-a-half times that number by the end of July. Where will it stop? I doubt the U.S. fatalities will be under 200,000 before a vaccine arrives, sometime late this year or early next year.