Native – This refers to a plant that is endemic and has co-evolved in a local area or region. In North America, it is a plant that was present in a region prior to the arrival of European settlers.
Variety or Nativar – This refers to a native plant that was found naturally in the wild with a distinct mutation, such as flower color or size, that can reproduce itself via seed. It is natural, and was ‘selected’ for propagation due to a certain physical characteristic.
Cultivar – A cultivar is a kind of cultivated plant that people have selected for desired traits and when propagated retain those traits. Methods used to propagate cultivars include: division, root cuttings, stem cuttings, offsets, grafting, tissue culture, or carefully controlled seed production. Most cultivars arise from purposeful human manipulation. These plants cannot be found in the wild and are not natural.
Invasive– An invasive plant is one that is not native to a particular area. These plants grows aggressively, spread, and displaces other plants which causes great environmental harm to the new area it's been introduced to.
There are big differences in the impact these different types of plants have on pollinators and wildlife in general. Even though Nativars share many traits with their wild source species, they are sometimes missing a big component of what makes them work for non-human elements of the natural world. For example, in many cases, cultivars are sterile, and will not make seeds, which can reduce their value in the wider ecosystem. Cultivars often have reduced nutritional benefits as well, and haven’t been studied enough to identify those which may be harming pollinators by providing reduced nutritional resources. All in all, I think it's hard to argue that natives are simply the best.