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It's still funny again this your last question, are you referring to CWC new format or the old format? If it's the new format then your argument stand point holds no water because the new format was introduced this year, so this is it's very first edition, how then was another team supposed to win it when it's been played only once. The old format was different because you have to be UCL holder of that year to get access to play in the CWC. Chelsea has 2 UCL and they have one CWC that they won in 2022 which means they lost the one they featured in 2012. City has one UCL and one CWC. Both Liverpool and Manchester United all have one each because the competition kicked off fully yearly in 2005.
Fairly it's a competition between it the maiden of it or not, someone was supposed to win it, right? So it would have still been said that it was a first time of any club winning it even if it wasn't Chelsea that won the CWC. The reality is that they are the first in the history of the competition going forward. Simply put to why some of the major clubs qualified for the UCL was due to the assessment of the UCL performance in the past 4 or 5 years and unfortunately Liverpool and many other clubs that may have won the UCL in total more than Chelsea have not made some significant fear in this recent years, hence their exclusion.