I agree with you that the Champions League is comprises of all big and best teams across Europe, but I don’t agree with you that Chelsea is not one of them because Chelsea is a big team because it has won the Champions League before now and can win it again.
With this current Chelsea squad, I am sure they will go very far in the champions league next season.
Chelsea are two times champions league winners therefore nobody should be saying Chelsea isn't a big team. Not many teams have won more trophies than Chelsea. Just because they were going through some difficult times doesn't mean they're not a big club. An example is Manchester United, they have been awfully recently but still a big team. History can't just be forgotten because it's history that makes clubs big. There are some clubs that are just becoming big recently but the ones that have being doing it for a long time can't be disregarded. Chelsea have a good squad now and I won't be surprised if Chelsea end up winning the champions league.
What makes you think that you Chelsea squad can bring the Champions League home when it's been a while that they found themselves in the semifinals. Let's not get it twisted, no club can wake up from their slumber after a long time and boom win the Champions League, it's not possible because this is not Europa League. For any club to win UCL, you must be consistently fighting for it and reaching the semifinals stages before you can be a champion. How long has PSG been fighting for it before they finally won it.
We can't just look at a team's past history, but we must also be realistic about their strengths. Admittedly, Chelsea's strength is now very strong, and they have made significant improvements. Therefore, Chelsea is worth considering in the race for the Champions League title this season.
It's also important to remember that the competition in the Champions League is fierce and full of surprises. No one can be underestimated, so with Chelsea's current strengths, they deserve to be considered.
What prove do we have that Chelsea is very strong to the point that they can win UCL. Winning PSG in the CMC finals is not a guarantee that Chelsea have improved and stronger than the rest clubs that will participate in the Champions League competition. Don't forget that other clubs too have become stronger than before.