My personal preference is to keep processed meats to a minimum - any colour, any meat, especially those low quality ones which are basically mushed up shreds of gloop stuck together with chemicals. Luncheon meat. Cheap frankfurters. Cheap chicken and pork where the slices are a uniform pink or white. That kind of thing.
But I don't include good quality products in that. Some ham, chicken and chorizo are excellent quality (usually reflected in the price), and while I might not eat chorizo every day, I don't have a problem enjoying it occasionally.
The name LCHF refers to the low carb, and the high fat parts, and doesn't mention protein at all, so we can follow LCHF and be vegan, or eat whatever kind of meat we prefer, and still keep to the spirit of the LC and the HFness.