There was a time not that long ago longer distance pistol shooting was part of firearms training.
In the past few decades shorter ranges were pushed by people.
Who can’t don’t want to spend the time, nor the money to become good enough at the longer ranges.
The 3 yard 3 shot 3second idea does not come close to handling all situations.
It is used by many as a excuse not to train for more.
I used to practice shooting 50 yards with my .44 magnum Ruger Redhawk. I got pretty good. Took down two does at those distances. Handgun shooting requires ( in my humble opinion) regular practice. My abilities with a handgun have suffered considerably over the years as I get little practice. Rifle shooting on the other hand has suffered but not badly. I can still hit a kill zone at 100 yards.
Part of why people are using pistols for shorter ranges is because the popularity of of semiauto rifles has risen quite a bit. But you’re right that proficiency with a pistol at longer distances your distances is a fine idea when you’re trying to fight your way back to your rifle.
My philosophy: As your accuracy improves and you become more proficient, increase the distance from your target. A four inch group at 15 yards works for me.