Probably true. The KHL wanted that Jokerit was one of those 4 teams, but the CHL declined that proposition according to Kummola.
Yeah, I have just found Medvedev´s statement from December 2013,
here. I will translate below.
"We agreed on everything (regarding the CHL) with the IIHF, even on scheduling & competition´s format. But unfortunatelly, KHL clubs participation in the CHL is impossible for one reason. We reserve a right to determine who will represent the KHL for
the innaugural season & we chose Jokerit who is joing the KHL next season. And this became a problem. I received an official letter claiming that the KHL´s development in Europe is not in the CHL´s interests. That statement is simply dumb. It is a very short-sighted position if they claim that keeping Jokerit out of the Champions Hockey League is the way how to stop the KHL development in Europe.
I think that every normal human being understands that the CHL without the KHL clubs will be the secondary tournament, its winner will never be able to call himself as European champion. The KHL thinks globally about development of hockey in all Eurasia, so I am forced to point out that the CHL´s decision is short-sighted & I am very sorry the CHL is beginning with this."
And, it is still a problem - the KHL wants to choose the clubs participating in the CHL, while the CHL wants to pick the KHL teams by themselve.