Can getting a Shurink treatment make my face look slimmer?

Lately, I've been worried about my jawline sagging, so I'm looking into lifting procedures.
My face isn't exactly thin, but I don't have a lot of cheek fat either.
So I am worried that if I get a lift done incorrectly, my face might end up looking too thin.
I think I saw somewhere that Shrink can also affect fat.
But it’s also awkward to just leave the sagging jawline as it is, so I’m conflicted.
What I want is not to lose facial fat, but to slightly improve elasticity.
I am particularly concerned about the area under my chin and the corners of my mouth looking slightly saggy.
Have you ever tried Shurink even if you don't have much fat on your face?
I am also curious if there are cases where the cheeks look sunken or the face looks gaunt after receiving it.
I would also like to know if there is a significant difference depending on the number of shots or the body part.
If anyone with a similar face shape has had this done, please let me know your experience.