Why is that even a concern for you here? This is clearly written for laypeople.
The author of the paper is now in a position where they feel like they have to defend themselves publicly, and I don't think this is the forum for a scientific defense (for the three reasons I listed above).
Due in large part to the fact that his paper was attached to a press release from Oxford--a point of contention for both Hossenfelder and Sean Carroll.
Likewise, most of the initial challenges to scientific papers/theories/experimental results happens informally and only later will there be a peer reviewed counter (if the original has not between withdrawn or modified before). Reference the OPERA ftl neutrinos for a recent example.