I agree that Chelsea has improved compared to how they were in previous seasons, but I also have to say that they've not been impressive, especially in the CWC. What I have seen from Chelsea is glimpses of a good team, but they have not been able to maintain that level for the period of the match. There is still a lot to improve on because if they hope to be among the elite next season and aim to win the league, they will need to be better than this and be consistent doing it.
Chelsea played well and good performance of Pedro lits some hope that eventually they will have a world class striker after Didier Drogba and Diego Costa many years ago. Since Abramovich era, Chelsea mostly failed with many strikers they have bought and only two strikers succeeded in Stamford Bridge: Drogba and Costa. Pedro with good debut for Chelsea can be their solution for this striker position after many years and a lot of money spent.
Chelsea have been in their improvement progress and they will be more ready challenging Liverpool, Manchester City and Arsenal for Premier League title next season if Pedro performs well as their main striker.
They will be tested when they face PSG, because so far in the tournament, they've not faced a top European team. I am not writing Chelsea off, but PSG is a better team than they are and if they find a way to win, that will make a lot of statement and increase their confidence level going into the next season.
By destroying Inter Milan in UEFA Champions League final weeks ago, and Real Madrid recently in FIFA Club World Cup, PSG shown their super strength and they are now the most unwanted opponent for any club in Europe. This match is a good opportunity for Chelsea to test their quality and capability to become champions not only in this club tournament, but also in an upcoming season.