That is just spin, and anyone can word anything how they like due to their own agenda. For instance, Pochettino doesn’t sound like a ‘good manager and a good option’ at all with how you described him. Another person could, just as accurately, describe him in a way that makes him sound very good. Someone like Rooney or Neville, for example, because there are plenty of positives to reference if you choose to.
Similarly, anyone could easily make a summary of Ten Hag as to why he is not best suited, with points that would all be valid. In all likelihood, Ten Hag wouldn’t have won the PL with Spurs, and in all likelihood, Pochettino would win the Eredivise with Ajax, scoring a lot of goals and conceding few in the process. Ten Hag has his appeal, and is a romantic choice, but it isn’t an appointment so obvious that going a different way defies all logic and reason.
And Pochettino is doing a very interesting rendition of ‘completely failing at PSG’ by the way, winning the league by an absolute landslide.