De Jong is a player that Erik ten Hag wants so much that throughout the summer transfer window of 2022 Manchester United made several proposals to Barcelona although Barcelona also refused several times. That's a sign that Erik ten Hag really likes the former Ajax Amsterdam midfielder. It is very unlikely that De Jong would not like the tactics of the Manchester United coach if he played in England with Manchester United.
Apparently you did not follow this story well, since in the end the transition did not take place only because of De Jong's decision to stay in Barcelona. Barcelona would have been happy to sell him (and be free of a huge salary obligation) and United to buy him, but De Jong himself didn't want to go to a club that didn't play in the Champions League plus his girlfriend was against leaving Barcelona for England.
The speculation that occurred on De Jong transfers was full of controversy and also took a lot of time, Barcelona had actually agreed on De Jong move to Manchester United but reportedly De Jong actually rejected the move for unknown reasons, but Barcelona reportedly has a debt to De Jong made it possible for De Jong to intervene in Barcelona decision so that the agreement with Manchester united was canceled at this time, reportedly also De Jong did not want a move and also did not want to cut his salary so this caused confusion for Barcelona.