Thanks -- that was enough information to lead me to [1], which is one of the author's PDF of the paper to avoid the paywall.
Here's the initial justification for the $19 bucket:
> While the preponderance of evidence suggests that a low-wage threshold slightly above the statutory minimum poses little risk of miscoding jobs as lost when they have really been promoted to higher wage levels, in our preferred specifications we report findings based on a relatively conservative $19 threshold. The $19 threshold is roughly twice the initial value of the minimum wage, a level beyond which cascading effects are less likely to occur.
And here's the payroll falling statement (from the abstract):
> Using a variety of methods to analyze employment in all sectors paying below a specified real hourly rate, we conclude that the second wage increase to $13 reduced hours worked in low-wage jobs by around 9 percent, while hourly wages in such jobs increased by around 3 percent. Consequently, total payroll fell for such jobs, implying that the minimum wage ordinance lowered low-wage employees’ earnings by an average of $125 per month in 2016.
Table 3 contains more of the breakdown, but does not refute my point -- the assumption about the threshold and mobility around that is not obvious, and the "reduction in payroll" only makes sense if we restrict the payroll changes to just $19 and hour or lower, the exact thing that I am pointing out as potentially a bad assumption. Under the alternative model, payroll reduced for that group of jobs (less that $19/hour) because that payroll was still spent (potentially on the same people) but at a higher wage class.
[1] https://evans.uw.edu/sites/default/files/NBER%20Working%20Pa...