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Leverkusen are a very good and organized team and they performed well last season and won the German league title and this season their performance was also excellent so it will be easy for Ten Hag to manage the team if he does not overdo it. If the thing is that the previous manager changes everything and puts players of his choice in the starting eleven and manages the team with a different strategy then the performance will be bad. I think if he does that the Leverkusen fans will never accept this so he will try to manage the team within his means. If Leverkusen performs better under him then his team management will be praised but if he cannot manage the team properly and if the team does badly under him then he will be considered as a bad manager as he was before.
It was a good performance, but not an excellent performance. In too many games they conceded goals against some of the weakest teams and lost important points when Bayern Munich themselves lost points. As the Bundesliga wasn't that strong last season and competition wasn't too fierce, Leverkusen should have done much better than that. 69 points is nothing that can threaten Bayern Munich.
It will be a whole new beginning now as the new manager will have his own agenda that will be very different from what Xabi Alonso wanted to do. Some of the most important key players left the team and it will be about integration of new players and building a new team and setting goals. The Bundesliga needs a strong Leverkusen team.