No, a major problem would be our defenders handing the ball over to the pressing attacking players who get a chance at goal. Thats what happens to the players trying to play there way out of everything, those are the chances consistantly given up. Players like AWB and Smalling know they arent Xavi or Iniesta and arent taking the same chances, they are trying to do less with the ball but dont feed into what the press is all about - stealing the ball high up the pitch with your attacking players so that you get chances.
The best way to play against pressing is to test their high line with runners. You don't do that with short passing through the middle, you do that with a measured pass for players to run onto
I say again when you are pressing you want players who are confident taking the ball into their feet and looking around for teammates to play intricate passes to. Thats how you steal the ball, not from the sensible and safe passes that a less gifted player will choose.