Satire is apparently lost at this site unless it's labeled as such.
So here's more satire. If you want the absolute shortest distance from home to the body of the runner, then throw to first base, as long as the runner is slow enough.
Here's the not-satire part.
Correa is an excellent shortstop. I presume the position he's shown in the screen grab is not accidental. The 2023 change in rules about infield shifts affects the logic just slightly, but when a steal attempt is developing there is some time after the pitcher releases the ball to pick the desired location to receive the throw from home. The ball in that screen grab is already partway to its destination. and Correa hasn't begun his lunge. If the location the ball actually arrived at was optimal, wouldn't Correa have been set up differently?
The ball thrown by the catcher goes at a far higher velocity than a human can run. So the distance being a few inches shorter,, thrown a few feet toward the first base side, does not make up for the speed differential of throwing to where the runner must eventually arrive in order to steal the base. The little joke, above, about throwing to first if you want to minimize the distance, is just to help visualize that the shortness of the throw does you no good if the runner is already past that point. Throw to the optimal corner of the base, at 80+ MPH, and you'll beat the runner much more easily than throwing to a spot the runner will reach sooner., those few feet closer to first A throw at the same speed Vazquez threw, but to the spot that Correa clearly was setting up for, has the runner sliding hand-first into the glove that's safely holding the ball, with much less drama.
You're certainly correct that no catcher can throw with pinpoint precision. And you're right that the infielder taking the throw must be agile. Vazquez did his job on that play. Correa, by contrast, went above and beyond his job, and made a play worthy of a Gold Glover. Greatest play ever by a SS? No. But a play that I don't think most infielders can make. He gave a master class on that tag.
My post wasn't in response to any particular other post, and even less so to your first one which was relatively moderate in its praise for Vazquez's throw.