The progression of deaths [0] is patently nothing like a Gompertz curve. It is bounded, of course, which is probably your point, but we are currently in a growth phase that is well modelled by an exponential curve. The Gompertz adds nothing at this stage, and does not accurately represent the periods of slowing that have already been experienced, nor the subsequent accelerations.
That the population is finite is, I think we can all agree, well understood. It is, however, important to be clear about the dangers of exponential disease growth when only ~1% of a population currently has that disease and the CFR is ~1%. For any sizeable fraction of 1.3 billion that translates to a large number of people.
