This is a study from Volek’s group. They kept calories constant for three different diets. They were specifically looking to see what happens if one does NOT lose weight on a keto diet. (One attack on keto is that the benefits you receive are because you lost weight.)
https://insight.jci.org/articles/view/128308
They have this nice diagram:
Basically the HC (high carb) diet made metrics worse, the MC (medium carb) diet didn’t change the metrics, but the LC (low carb, basically keto) diet decreased glucose and blood pressure and triglycerides while raising HDL. LDL size also increased, small LDL decreased (both supposedly factors in heart disease), and the blood actually – OMG!!! – contained less saturated fatty acids (SFA).
I did not see this on the forum, and I thought it was interesting.
EDIT: By the way, I believe it was the same people who rotated through three diets. So, you can’t chalk up the differences to different people.