PSG is just impatient with coaches. They were so obsessed with winning the Champions League that they saw other titles as worthless. Almost all the coaches they have sacked from Thomas Tuchel to Mauricio Pochettino performed well but they were sacked just because of their inability to win the UCL. But it looks like they have become mature and patient since they have not sacked Luis Enrique after failing to achieve the club's long-term dream.
I agree with you that the PSG management was very impatient with the coaches. But I won't say that the decision to sack Thomas Tuchel and Pochettino was wrong. These two coaches are quite experienced. But they don't have the ability to handle a lot of star players. Tuchel was the coach of Bayern Munich for a while. Tuchel was not successful with Munich either. So PSG management's decision to sack Tuchel, Galtier and Pochettino was correct. They should have appointed an experienced coach earlier.
Luis Enrique is the new coach of PSG. If the PSG management gives Luis Enrique full freedom to shape the squad, PSG could see a strong squad in the next few years. A team like Manchester City has been built by Guardiola as the best club in the Premier League. So Luis Enrique will be successful if he gets enough opportunities.