Your premise is incorrect. Todays infections will not complete their course for at least 14 days. As long as hospital surge capacity is available, we will be lucky to keep the case fatality at 1.0.
People who become infected don't die the same day. The growth of deaths will follow the same exponential increase as infection.
This has been discussed many times in previous threads. From The Lancet:
Real estimates of mortality following COVID-19 infection.