I seem to recall learning somewhere that the fly is more of a shaping movement and that the press is a (muscle) building movement. My guess is that this was the opinion of someone who is committed to putting on size and doesn't feel the cable cross over contributes towards this goal as effectively as other movements. I'd say you are fine with or without the cable crossovers. But I'd be sure then to do the fly for some chest variation. Although... you'd think that there is something beneficial about the constant tension of the cable...
There is a chest move I do that I have only seen done by Margaret Richard of Body Electric. You hold a dumbbell in each hand, having your arms straight down from the shoulders, along the sides, in a hammer curl position (palms facing the sides of your body). Now, simultaneously think about contracting the chest muscles really hard while your arms rotate in front of your body; your palms will now be facing you. That's it. There may be a variation of body building pose that uses this finish position to show off the chest.
I swear, I really feel this in the inner portions of the chest. It is all in the squeeze of the muscles. I often through in a set of these at the end of my chest workout. Because it is the squeeze that is so important, you don't need a lot of weight.
Jeanne