Yes, lactose (especially from pasteurized) does not digest. Even hard cheese seemed to back me up a bit. Kefir works out fine, and a little raw milk here and there also poses no threat. For me. YMMV. But kefir and raw milk are expensive compared to my staple foods, and I don't need them so I don't buy them.
Steak, eggs, potatoes - fruits, nuts, berries and forage. Coconut milk and potent herbs and spices. Tea instead of coffee now and teeny amounts of kelp daily. Let's see how this does! Not really had dairy much, and gut seems better for it.