Mark advocates eating a lot of vegetable in every meal. This prevents atherosclerosis, and, besides, the high blood trigyglcerides that you mention as required for atherosclerosis are caused by eating a high carb, low fat diet high in sucrose/fructose.
I think you need to go back and re-read PB.
F 5 ft 3. HW: 196 lbs. Primal SW (May 2011): 182 lbs (42% BF)... W June '12: 160 lbs (29% BF) (UK size 12, US size 8). GW: ~24% BF - have ditched the scales til I fit into a pair of UK size 10 bootcut jeans. Currently aligning towards 'The Perfect Health Diet' having swapped some fat for potatoes.