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Ten Hag has left Ajax since 2022, meaning that Ajax has been trained for 2 seasons by a new coach, so I think there have been many changes that have occurred in Ajax current squad and playing strategy and it will be difficult for Ten Hag to understand with Ajax style of play in the future, especially if Manchester United meets Ajax later, it is very likely that Ajax will have a bigger advantage in the future because most of the players who have been trained by Ten Hag are still playing for Ajax at this tim, of course their certainly still really understand the weaknesses and strengths of Ten Hag game strategy, because I think the style and game of a team will continue to change along with changes in coaches over time, but 80% of the style and strategy of play applied by a coach will remain the same even if he coaches different clubs.
A change of coach will change the direction of the team's game, as has been the case with Ajax Amsterdam since Ten Hag left. The players who have worked with Ten Hag are very familiar with the tactics used by Ten Hag, their presence in the Ajax squad will probably be a thorn in the flesh for Ten Hag who is currently managing Manchester United. If Manchester United meets Ajax Amsterdam it will be a tough match for Ten Hag because the club he faces is very familiar with the tactics he uses, this situation is very beneficial for Ajax because they can read Ten Hag strategy and they can prepare how to overcome it.
The situation might be different if Ten Hag was able to improve Manchester United performance by bringing in quality players, the sharpness of the front line would make it difficult for Ajax to face Manchester United. Ten Hag will certainly work hard to achieve positive results because his career was saved after successfully leading Manchester United to win the FA Cup, but if he fails this season, Manchester United will not give him a second chance.