I never try to compare the amateur ranks with the professionals. One group is playing for millions of dollars, the other is spending millions of dollars to play.
It's the same the professional amateur. Their games are not comparable to mine.
As for caring about my scores, there are times I do, but more times I don't. Most of the time, I am that guy who after making a quick assessment of what I have to work with, just walk up and hit the ball again. This is especially true at my home course. I pay my $10 walking fee and basically have a fun time just hitting balls, and making putts. $10 for few hours outdoors, and an 85 is a bargain.
Now later in my $10 round, if I find I am playing well, with breaking 80 a real possibility, I will pay more attention to my shots. I will become more focused.
The times I do care about my scores are when I decide to play a sequence of rounds to see just how good my game is, or isn't. These are the rounds I prepare for. They are the rounds I play when on a road trip, and play a better than average course. Places like Bandon, and Monterey are places I want to play well. They usually cost more, and get my full attention. A 78 after paying 3-5 hundred dollars feels alot better than an 88. I spend more time on my shots at these places. The more I pay, the more I expect from myself I guess is my way of thinking.