Breaking 80 is tougher, I believe. Although I haven't technically crossed the threshold so maybe my opinion isn't valid.
I'm not tracking my handicap, but I have been shooting mid-eighties lately from the standard men's tees (6,100-6,300 yards), consistently now for a while. The piece of my game that is consistently dragging my score down the most right now (for a while now) are penalties. Those 2 strokes at a time freaking KILL my score.
With that being said, with a penalty and my current playing ability almost assuredly results in a double-bogey or worse. But I can still shoot an ~85 with a couple double's or one of them a triple in there. I'm shooting a lot of pars now. I VERY rarely get a birdie. For some reason I cannot reach par 5's in 2 and they aren't particularly long on my home course. I think I've had 1 birdie in my last 3-4 rounds? But I can tell you, when I have ONE birdie on my scorecard it is usually HUGE to my score, and that's when I'll usually have a < 82-84 day. Something about getting that birdie on the scorecard makes my confidence grow.