Not really, Ozempic face is the same face as one gets when starved of food for a longer period of time from low caloric diet that contains carbs. Ketosis on the other hand doesn't cause this unless one has almost no fat left as it doesn't switch body to the starvation mode.
There are two modes the human body operates normally - insulin-driven, active when carbs are in the food, and ketone-driven, active when there is a lot of fat storage and no food intake, or food has no carbs. Insulin-driven operation switches to starvation when food intake has caloric deficit but still enough carbs for insulin to be triggered; ketones on the other hand lead to zero insulin activity and pure fat burning; starvation is only activated when humans reach around 4% body fat while in ketosis.
This is a bunch of pseudoscience.
"Starvation mode" as people talk about it is generally nonsense - the exceedingly low bodyfat you mention for keto is the same place you would see it in a non-keto diet when we talk about actual starvation mode and not whatever you're talking about with a non-ketogenic diet.
The only real difference when it comes to the biology here is that fat mobilization into glucose is significantly slower and less efficient, which keeps your blood sugar levels more constant, which results in fewer post-meal food cravings. Which isn't nothing, but it's not muscle sparing in and of itself.
We have plenty of studies here. Keto diets are not better for sparing lbm.
https://pubmed.ncbi.nlm.nih.gov/38934469/
In fact, if you already have significant muscle mass, it might be worse. Glycogen is hugely important when doing resistance training, and keto significantly impacts your glycogen stores. People perform worse with their resistance training on keto than regular diets.
https://pmc.ncbi.nlm.nih.gov/articles/PMC9244428/ https://pmc.ncbi.nlm.nih.gov/articles/PMC8469041/