My feeling is that the swinging glass door tends to give the impression that the screen should swing as well, rather than slide. Most doors have both door and screen operating the same way.
But yes, I’ve eventually had to do lubrication and adjustment of sliding screen doors as they do tend to collect crud and go out of adjustment over time. The one in the current house, where the house itself is relatively new, has been pretty good for nearly a decade now, but I tend not to use it daily as I did the others.
As for dogs running through the screen, my large Bernese Mountain Dog would have been fully capable of running right through the screen and even through the heavy glass door AND the screen at the same time! But he was smart and a Good Boy, and if it was only the screen that was closed, he quickly learned to open it with his snout to let himself in or out. It was cute to see, but unfortunately, like an errant child, he never did learn to close the door after himself!
^ This. The glass door design is giving visual cues that say that the screen door should also be pushed open, and humans and animals both are falling into this design trap. You’re always going to be fighting human/animal nature to push that screen door. You should just surrender and not keep trying to fight it.
The only option other than the magnetic screen I can think of is to block a couple of inches in the track of the screen door so that it doesn’t close all the way, making it obvious that it has to be slid open (or nosed open by a dog). This will let bugs in, though. I’d go with the magnetic screen, myself.
I’m from the swinging screen door ere, replaced on the hinges in winter by a storm door. . Wood, with a long coil spring and a low-tech hook-and-eyre lock '. Mom had to keep yelling “Don’t slam the door”, which is probably the only reason she lobbied for the vastly inferior sliding door. From the waist down, it was impervious to dogs and drunks, and even children could master the intricacies of the reinforced push bar.