It's just not guaranteed to be monotonic (particular strains can bump lethality upwards), and it doesn't help the people who die early on to the stronger strains, especially with an overloaded medical system.
Like, we don't have hospitals overflowing into makeshift tent farms outside with freezer trucks used to handle the overload of bodies until the crematoriums can get around to them anymore, either. It's definitely trended towards reduced lethality over time.