I am not a fan of Jacob Rees-Mogg. I would hate to be made to refer to Imperial units because I don’t think in Imperial (presumably he does) and the Esq. thing is alien to me.
However, things like “Check your work”, having two spaces after a full stop and no comma after “and” are fair enough. I’m not sure about all the banned words or phrases but perhaps they are overused (to the point of being sloppy).