I'm not so sure about that to be honest. Sure, the default notion of progressing is a nice one, but the further you get, the more gutting it is when you get booted out. That feeling can obviously be put up with when you have the chance of winning, but with such good teams reaching the final, those chances are slim whilst the chances of disappointment at some point are high.
I've noticed that since we got booted out so early on, the disappointment I had in not going further has been balanced out with the relief that we didn't get far enough to really get our hopes up. When it happens so early you just feel a bit 'meh' about it and it doesn't fuss you either way. On the other hand, if we got kicked out in the quarter or semi finals, I'd be a lot more sore about it, despite no additional benefits of reaching that far other than being able to say that you got to the quarters in the FA Cup.