Some people do, while other people lower their LDLs on a ketogenic diet. But most people on a Ketogenic diet (regardless of LDL) increase their HDL as well, which can improve the ratio of HDL to LDL. The total cholesterol can go up, but that's increasingly looking like a poor metric to measure health.

There's a newer lipid profile test that most doctors don't order. (Looking at my last test results) If I'm reading this right, it's the Lipoprotein Subfractions Pattern test (or maybe Lipid Subclass Detail from Ion Mobility?). It measures the particle diameter of HDL and LDL and assigns you a pattern score (A or B). You want "A", it means your cholesterol particles are large and fluffy instead of small and dense. Large and fluffy particles are significantly less likely to penetrate your arteries and form plaque. Ketogenic diets can improve that profile.

That said, the only real way to see how you react to a keto diet is to do it while being supervised by a doctor. Find a doctor who will actually support you in it and order the right tests!