Use a soft lens and you won't have that issue.
The resolution isn't too good. It's just the contrast and sharpness of the lens relative to the resolution is showing more detail than you think is flattering.
This is common in fashion portrait photography which is why they often soften the skin or paint it, because even those 22 year old models have facial blemish and don't want to see that in their profile photographs nor do magazine or ezine portfolios want that. So again, even using an old low resolution camera with a junk it lens heavily stopped with with good lighting will produce something too sharp and show skin flaw that needs post process correction for display for a flattering look.
You could just use a minor blur on them as a layer mask and blend it so it's not too intense, it will soften it up without losing detail.