everyone i guess thinks about it differently. but
basically you know the contact point as that is the farthest point on the object ball from the pocket. you cant miss seeing that.
then whatever system or thoughts you use, you aim to hit the part of the cue ball that will reach(touch) that point first.
then adjust for english if using.
soon you walk up and just know. if you have to think about it then you tense up. and in all sports you need to be loose or you cant play well.
just like walking on a wet log. if you just do it you get across fine. if you think about your steps you fall in.
I would somewhat agree with this, for "feel" players, but I think methodological players like to have a sort of framework around which they play.
As an extreme example, both types of players can shoot a masse shot--for the sake of this post, consider one with more arc than a 'swerve', but not more than a 45-degree (general angle to the curve). A feel player will literally do that--have an idea (from experience) of how to make the cue ball go where he wants. A methodological player would need to use something like the process where the angle is visualized down, through the cue ball on to the cloth, and then have to have a (practiced) stroke to generate the same angle with the ball.
My point is, a methodological player HAS to "think about it", and therefore does not tense up. And, an experience feel player doesn't necessarily tense up, but I get you point, in the way that is often described as "paralysis by analysis".