What Germanicus describes (but with elbows perpendicular not parallel to floor) is optimal.
But because of differences in anatomy, the optimal start position can not be achieved--by everyone--to the same effect when using meaningful loads. If a trainee has long forearms relative to their humerus, the "on delts" start position will be a big problem as loads become meaningful, even if the other aspects of pressing form are sound.
Forget the videos above, especially the first one, which shows forward bar drift on subsequent reps (as Germanicus alludes to), and likely too wide a grip for optimal set-up and drive with a meaningful load.
The second vid shows a start position that is great--for that lifter. Were we all built like him, and with a forearm to humerus ratio that is similar, that would be fine. Note he also has a wide grip, but properly so because his clavicular width is a yard across and his torso (lat shelf) is massive. The overall tension from head to foot is stellar, otherwise even he could not have done this.
Rippetoe is likely as good as any for coaching the Press (see his books or videos) in general and to accommodate differences in individual anthropometry.
A proper answer to your question --for you-- may entail some direct coaching, even as the more general (tension) considerations, described by Germanicus, are sound for just about everyone.