The details of that epidemiological model start around page 7 of
https://www.science.org/doi/suppl/10.1126/science.abp8337/su...
I haven't fully studied all the layers yet, but as far as I can tell it's numerical sludge, in the same general direction as econometrics, with so many free parameters or arbitrary choices in the model that you could plausibly get almost any result you wanted. Similar models got their chance to make falsifiable predictions of the case count in the actual pandemic, and they failed repeatedly, often by huge margins, in both directions.
For a specific criticism, the authors report that they're robust against variation in doubling time, but nothing about robustness to the extent of the overdispersion of SARS-CoV-2's spread (i.e., the superspreader characteristic, where most patients infect very few people but a minority infect a lot). They appear to model that only through the connectivity of the infection network, which appears to be fixed. All other things being equal, more stochastic early spread will make it harder to confidently reach any conclusion.
I'm not saying this work isn't interesting at all, or that I could do better; but it's many layers of stacked uncertainty. I believe the confidence that the authors express in this paper is already excessive, and Worobey's statements to the media go considerably beyond that.