Correct me if I'm wrong, but I thought AA EXP or Delta DM = free access to respective club
As far as AA is concerned, IIRC, EXPs only have AC access on international itineraries, regardless of class of travel. Again, that doesn't do you much good if you travel mostly domestic.
I like my QP membership myself. I bought a four year membership at a deep discount and have reciprocal rights with the AC and BA's Clubs as well.