No, rebel, you clearly don't hear me loud and clear.
Non-premium members are not supposed to have access to an unlimited number of private games. Plain and simple. If a non-premium wants to play in a tournament with one of their slots, they may do so, but that is not an "unlimited" number, it is finite until the tournament ends.
In-clan privileges for non-premium members would completely circumvent the whole point in having private games as a premium feature.