I'm not saying you are wrong, or disagreeing with you, I just don't understand what you mean. If you wish to expand and clarify this, I will happily listen. However, like anything else, it really boils down to $$$$. If the KHL can make it work financially, they'll join.
As far as I am aware of, there is still interst in Russia to create a KHL conference in western europe, consisting partly of teams who are included in the CHL right now. Such a confernce would be a direct competitor product to the champions hockey league. Even if you are assuming that the CHL would be a much inferior product, there is just no way that the KHL would have any interest in promoting this "alternative" to a western KHL conference.
The very reputable Swiss newspaper "Neue Zürcher Zeitung" reported on this issue a couple of years ago:
[...] "The Reason that the KHL still refuses to take part in the CHL, isn't mainly because of logistical problems, as Kobylyansky [then KHL Executive Board member] explains in Zürich. Rather you just don't want to strengthen your direct competitor. It was most likely more than a conincidence, that the old, finacially much more lucrative Version of the CHL was terminated in the Summer of 2009 after the KHL was launched and its [the CHL's] investors retreated. The League [the old CHL] had been financed mainly by the russian energy corporation Gazprom. Competition [to the KHL] was no longer desired." [...]
German Source (Unfortunately behind a paywall but you can take my word for it)