For automation of something like that I would try to use "Target" function so that the camera stays on target or the other way around the image plane sticks on camera point of view.
I don't have a video to illustrate the concept in Fusion, but here is more or less the same thing in MohoPro.
Mohos 2D rigging combined with Pierrot Ritjas talent
Here is another method if you need a different kind of parallax. A tracking shot.
Davinci Resolve 17 Parallax Animation
And here are some scripts and stuff, but I'm not sure if they work. Worth a try.
[BETA] Parallax Point Modifier
https://www.steakunderwater.com/wesuckl ... php?t=5216Also I don't know if this script still works for new Fusion versions.
Eyeon Fusion hos PSDLayers tool script explanation video
https://www.svenneve.com/?p=480P.S.
Don't rely too much on one click marketed solutions. They never really work to give you anything other than something that looks like.... one click marketed solution.