The KHL teams would be the biggest victims of the CHL scheduling if the KHL played the tournament. Because all RUS NT consists of KHL players & CZ/FIN/SWE NT have many KHLers at EHT too. And there are other NT tournaments with Latvian & Slovan NTs too, but yes, Slovan & Dinamo Riga are not likely to play the CHL. In such conditions, why should the KHL agree to join the CHL if there is such a problem with players unavailability?
I read an interview of Zaruba (Czech public TV sport director, the most famous Czech hockey announcer - for guys do not know him). He said the CHL wanted 3 or 4 more money for one season than biathlon for 2-4 seasons. I do not remember exact data, but the CHL is much more expensive for TVs. And it is a big question if the CHL would have bigger ratings than biathlon. I doubt. And he said that Czech public TV (CT Sport) has its own hockey product - the Czech league - so no reason to promote another competition. I do not follow CT Sport´s broadcasting of Czech league, but I heard they do not even mention that there is something like the CHL.... Another problem are highlights at Branky Body Vteriny (daily sport program at CT, cca 5-10 minutes). The same sport program is in Slovakia of course. If I remember they mention the CHL here, but only with a reference to a Slovak team. Btw, the same problem is with the KHL highlights, they mention only Slovan´s games. But, you have NHL highlights every day at this program. Perhaps the KHL & the CHL can not do anything to change it, because it is how media/TV work - they have only one source of information - Reuters & all related agencies, which are USA centric.
That is what I did not mean by degradation of the KHL. But yes, it is another way how to look at it. The point was that if you decide to create a joint project, you need to send there your best teams & players. And it is not possible if many top players from your best teams are called to NTs at the same time. If you still insist on playing such club games, you disrespect the competition itself & your own teams/league.