You can't go by cases/day though--there's a cohort problem.

In the slow growth scenario, when you are at 20,000 cases a day, the deaths on that day are from the seeds of cases that started "long" ago. When you get to 20k on the back of a growth explosion, those cases are all "brand new."

This is not to say that it won't be less deadly, just that judging it that way is very flawed.