Online play has definitely gotten bigger in the FGC, but the people I know in the community[0] still largely consider offline play king. In a game scene where individual frames matter, the preferred way to play for keeps is offline on a CRT. But, you know, halfway decent online play is fun and good for making sure you don't get too rusty.

I think the big difference between EVO and e.g. DoTA offline majors[1] is that anyone can show up at EVO and jump into the pools. For other esport events, to play in an offline event, you first have to have qualified online. If the whole process were offline beginning to end, that would be closer to the FGC model.

[0] I myself only dabble, somewhere between filthy casual and semi-serious

[1] and do correct me if I'm wrong, I don't know that much about the competitive MOBA and FPS scenes