It is too early to conclude Pochettino better than 2 previous coaches. His records aren't also very special, all the trophies he got when he was the manager of PSG only. He never won international competitions, all the trophies were local competitions in France. To be honest, I'm not really sure that Pochettino can easily improve the current condition of Chelsea. However, I agree that we must give him time and opportunity to manage Chelsea. We must understand why the media is not pessimistic with Pochettino, the media may consider his stats only.
And I don't think anyone reasonably expects from Pochettino at the head of Chelsea mandatory trophies already this season. For the club, the most important thing now is to push off from the bottom and the nightmarish 12th place where the team found itself in the Premier League and remained outside the European Cup zone. Therefore, the struggle for a place in the Champions League and the late stages of the type of semi-finals of the English cups, I think, would suit the owners of the club at the end of this season.