Let's look at some of the specific claims:
> Mass shootings were too rare in Australia for their absence after the buyback program to be clear evidence of progress.
Oh? Just how common do they have to be? Before the buyback the number of mass-shooting was >0 (that's what prompted the change of policy to begin with) and since then the number has been exactly zero. It might be the case that the number before was too small for zero to be statistically significant, the author goes much further than that and concludes that because Australia does not provide enough evidence to reject the null hypothesis that the null hypothesis (gun control doesn't work) is therefore true. And this person claims to be statistician?
> When I looked at the other oft-praised policies, I found out that no gun owner walks into the store to buy an “assault weapon.” It’s an invented classification...
This is true, but all classifications are invented. Just because a classification is invented doesn't mean it is meaningless or useless. The idea that because "assault weapon" is an "invented classification" that it is meaningless is an NRA trope. Why would a statistician fall for it?
Also, no mention whatsoever of background checks despite the claim that "By the time we published our project, I didn’t believe in many of the interventions I’d heard politicians tout." Background checks are probably the single most prominent proposed intervention, and totally ignoring in a piece whose thesis is that all proposed interventions are useless is either journalistic malpractice or evidence of bias.
It would not surprise me a bit to learn that this piece was quietly commissioned by the NRA in the same way that oil companies fund climate-change-denialism reports. It just seems too sloppy and convenient to be genuine.