Ladybugs, Lady Beetles, Asian Beetles, Asian Lady Beetles: At Least Aphids are Aphids

I've read about ladybugs, lady beetles, Asian lady beetles, and Asian beetles, for some time now. There seems to be some confusion about what beetles are called what. I still don't know for sure, but here are some online resources, by people who should know what they're writing about.

"The Multi-colored Asian Ladybeetle"
Michigan State University, MSU Extension, MSU Dept of Entomology, the Michigan Dept of Agriculture, and the MSU Integrated Pest Management Program

"A good bug with some bad habits
"The multi-colored Asian lady beetle is a native of Asia, and like many exotic species, has readily adapted to climates and habitats in the U.S. As with most lady beetles, it is a highly beneficial predator of insect pests, especially aphids. Asian lady beetles can create trouble when large numbers enter buildings or feed on late season fruit crops...."

"LADYBUGS"
University of Kentucky College of Agriculture Entomology

"Ladybugs, also called lady beetles or ladybird beetles, are a very beneficial group. They are natural enemies of many insects, especially aphids and other sap feeders. A single lady beetle may eat as many as 5,000 aphids in its lifetime. Many species of lady beetles are present in Kentucky and they are common in most habitats...."