Terrible results with Cellphone image, Upscale and Recover Faces

Here’s the image with LR adjustments

It is OK for cellphone images, which are overprocessed and therefore distorted with natural information lost.
You should take a look for tools used for “normalising” of AI-generated images, which have similar distortions. They use input image not for recovery and improvement, but for generating of new images with a hints from initial. Like painters create masterpieces from legend and stories.

The AI Model ‘Recovery’ of Gigapixel AI could maybe do magic to this image.