Sustained (timed) fire / ideal form

How should a good sustained fire string should look in a dot scope?  I would think the "ideal" form would be something like a sawtooth wave, with the dot jumping vertically on firing then dropping in a controlled manner back to the aiming area.  Something like the attached image (red x near firing points).

A while back Steve Turner posted videos of dot during sustained fire.  I find these very helpful but question for master shooters: is this what sustained fire should look like?  Here is 22:

https://www.youtube.com/watch?v=wvYLn0t2s8E

And 45:  https://www.youtube.com/watch?v=2OoeRxVPyxU&t=1s

There is a similar video of an AMU shooter.  It is mostly about shot calling, but starting at 1:43 he shows what appears to be amazingly good 45 SF - not much different than a sawtooth wave:

https://www.youtube.com/watch?v=krRAOgD2DZA&t=4s

What should we shoot for?

Slow fire allows ten minutes for ten shots. You would usually rest the pistol on the bench between shots and take ten individual shots.

DA/SA wrote:Slow fire allows ten minutes for ten shots. You would usually rest the pistol on the bench between shots and take ten individual shots.

Sorry, I meant sustained fire by SF (corrected in edit)

My mistake. I should have figured that out!
Sorry.

I’m not seeing a sawtooth as my shot recovery is a two dimensional exercise. Particularly in 45. So my trace would be similar to a heavy damped conical pendulum. Kind of like this.
A

Wobbley wrote:I’m not seeing a sawtooth as my shot recovery is a two dimensional exercise. Particularly in 45.  So my trace would be similar to a heavy damped conical pendulum.  Kind of like this.
A

Thanks Ashley.  The thought of a saw-tooth wave is more schematic than what is actually seen: time on the horizontal axis and POA distance from center on the vertical axis.  Plotting the AMU shooter's movement seems like that - recoil rapidly up, then returning steadily down to center before firing again.

Don’t over think it. Center the dot, squeeze, rest.