Before revision:  We emphasize that our goal is not to replace benchmark methods for estimating the reproductive numbers, nor to pretend to more accurate predictive scenarios. Rather, we focus solely on discussing the importance of the impact of R's heterogeneity on uncertainty quantification for the current COVID-19 pandemic .
After revision:  We base our discussion on both synthetic experiments -- thereby quantifying of the reliability and the magnitude of the effects -- and real COVID-19 pandemic .