It's not that simple. High consumption of animal saturated fat can raise total blood cholesterol, but animal consumption in and of itself does not necessitate that. Notwithstanding, with a balanced diet high in vegetables and fiber, omnivores do not fare any worse than vegans in acm.
While that’s true in theory, we don’t observe a sufficient fiber intake for most human omnivore. That is Erfgh point : the classic diet don’t meet nutrients goals when studied on the field by researchers.