First up, read the primer in my sig (which spans the first two posts of that thread). What matters are the RATIOS relative to HDL.
From your mum's panel, that is
Total/HDL = 4 (ideally < 5)
LDL/HDL = 3 (ideally <4.3)
Trigs/HDL = 0.86 (ideally < 2)
So as you can see, ALL of her ratios are in the good range, because her HDL is so good. I believe that her doctor is wrong to recommend a statin here.