A lower fatality rate in a higher population can cause more deaths. 10% of 1000 is smaller than 5% of 1000000.
But more importantly, something that is more obvious and more quickly restricted will spread less. SARS had an R0 of 2-4 but with control measures in place that dropped to 0.4 (figures from Wikipedia).
With covid19 many patients are able to continue their lives and infect others without being obviously sick themselves. This limited the ability to contain outbreaks without extensive testing.
* R0 when the disease appears first time and people dont know about it
* R0 when people learned about disease and changed behavior.
Assuming disease is new, one person sick with SARS will infect more people then one person sick with COVID.
Due to stronger symptoms and shorter time to symptoms, we learn SARS is issue, change our behavior and quickly close small area. SARS will spread less. In covid, by the time we figure area is infected, a lot of people are infected elsewhere. It takes us more time to react.
That gives your virus time and opportunity to spread.
Fast lethality means the host dies before you spread. Strong symptoms means the host stays home and you don’t spread.
Covid19 hit the sweet spot. Asymptomatic for many days, barely noticeable symptoms in 70%+ of the population, then suddenly very deadly in the few percent that get bad enough.
With better testing, this could've been nipped in the bud worldwide. Also, with proper pandemic preparations and alertness, countries wouldn't need to shut down. Shutting down proactive measures to save small amounts of money, costs much, much more in the longer run.
You will witness every decent country hit by unconstrained exponential contagion, shutting down.
When it's too late, or people can't be bothered, they become Italy, Spain and Worse.
The total number of fatalities caused by a disease on the other hand depends on the spread across the population which is influenced both by the communicability and by the effect of the symptoms on its spread—how long are people infected, how long do the infected live, how identifiable are the infected.