Please point out the errors in his critique.
Sure.
The first section on the engineering of open and closed-loop systems isn't particularly relevant. We're dealing with biology, not mechanical engineering.
Second, he makes a number of initial claims about the paper in question based solely on the abstact and appears to be setting up a strawman in the process (for example, talking about a bird "cooking itself" through unfettered BMR). I get the feeling he doesn't really understand the point of the paper, which is to examine how BMR evolved in mammals and allowed them to survive in colder-than-average temperature scenarios. Which given the fact that mammals have generally been successful at diversifying into much colder environments than most animals, makes a lot of sense.
Third, most of his critique of the quoted sections are little more than personal incredulity and arbitrary dismissals. For example, his dismissal of phylogenies as "just stories that evolutionists have made up and published." That's not a real criticism of anything; it's just hand-waving. Likewise, his complaint that the researchers didn't produce any new data is just bizarre.
Fourth, the section where he quotes and criticizes the scenarios in which they identified coupled versus decoupled BMR and T(b) is incomplete. He tries to dismiss the methodology in question by claiming all the scenarios presented result in the conclusion that BMR and T(b) were decoupled. But he clearly isn't describing all the scenarios, as is evidenced by the following linked diagrams from the same paper:
https://www.researchgate.net/figure...n-their-branch-wise-rates-in-a_fig1_335174629
This is arguably his only real attempt to critique anything in the paper itself and it's an embarrassing failure. His interpretation of the quoted section suggests he doesn't understand what he is reading.
Finally, the bottom section "Biological Temperature Control Systems" is nothing more than a giant strawman and argument from incredulity bundled together.
Overall, it's a poor attempt at a critique of something published in
Nature. If I were Mr. Jones, I'd stick to my day-job. He's clearly out of his depth when it comes to biology and evolution.