It 100% does and to be honest, if you are Hypo with those numbers, you are in really good shape. Cholesterol over 200+++ is VERY common among hypothyroid patients. Mine shot from 184 to 230 when my thyroid crapped out so keep watch of it.
HypoT affects LDL more than HDL. It has that effect because the body's elimination systems are so sluggish that the LDL isn't excreted like it should be.
Just before I was diagnosed hypo, I tried diet and exercise to lower my elevated LDL... even though my diet was already very good. I was easily able to raise the HDL with exercise, but the LDL actually went up a few points even with all that effort. I haven't had my cholesterol checked since I've been in treatment, but my doctor assured me the marginal elevation I had would be corrected with proper treatment.
Triglycerides may or may not be affected by hypoT; I was also able to lower those by drastically cutting sugar intake. Presumably, the exercise also helped.
I'm hypot---but they don't think it's as serious as it is because my cholesterol levels are low. They've always been low. I'm glad they're low---but I've had doctors give too much weight to the numbers---and not look up and see that I look like I haven't slept in three months, my hair looks like straw, the circles under my eyes look like I've been in a fight, and I can barely drag my sorry butt to the scale---where it shows I've gained another five pounds.