Sad thing is that even in free mode, people disconnect like crazy.If they cannot afford to lose ratings, there is ALWAYS free mode.
Seriously, Game Freaks is ridiculously dumb for adding any kind of count (even though only you can see it in your trainer card) at free mode. PBR had no count, everyone complained about it but people rarely DCed.
Also, it may sound stupid at first, but throwing a big "LOSE" in your face and making you wait over a minute of saving to start searching for another match is annoying. Well, at least for me.
I would say Game Freaks is the one to blame in this DC outrage.