The statement in full, with context, is nothing shocking at all and makes sense in his approach to not come in and try to Ajaxify the club.
I don't see how that makes sense. As a coach you usually have to prove yourself before a top club even considers you. And Ten Hag proved himself at Ajax, coaching a certain playing style. You signed him because of his successes there but for some reason, he felt the need to abandon (some of) the concepts that made him successful at Ajax and brought him on the radar of United to begin with. Which means he is
unproven at what he currently tries to implement.
I don't know why he changed his approach. Maybe the club asked him to do so, maybe it comes from himself or maybe he realized a possession oriented style wouldn't be accepted at the club for whatever reason. Whatever it is, Ten Hag hasn't proven that he can successfully implement what he is currently trying to implement at the required level. It is essentially an experiment. Like an Italian restaurant signing a chef because they liked his sushi.
Now the question is, is United really in the position to go for experiments or wouldn't they be better off simply adapting what othwes are doing successfully. With City, Liverpool, Arsenal and Tottenham four direct competitors are playing positional play based systems. And with Ten Hag, United even has a manager who succesfully coached one previously. It is such an obvious choice.
Your wording 'Ajaxifying' sums this up pretty well. Somehow people fear that the club would lose its identity if it changed the system. But why is that? Was Bayern "Ajaxified" by van Gaal? City "Barcafied" by Pep?
I think in the end, it is nostalgia standing in the way. United was very successful playing direct football and people don't want to accept that the approach isn't producing results anymore. It seems United wants to get back at the top by doing it the old way. But it is what it is.