Chris, welcome to the forum.
The experience here seems to be that LCHF will reduce blood sugar levels and cholesterol as well.
I was diagnosed in July as type 2. On 1st August I decided to go LCHF. My cholesterol measurements were really not good.For example my Triclicerides were 6.0!!
Last week I had bloods done my HbA1c is now 42,all my cholesterol measurements have improved some dramatically.My Triclicerides are 1.0
Whilst I cannot give you specific advice what I can say is that there is a pattern emerging here.
Incidentally I am on blood pressure medication and statins.