Thank you for this post!! Before I got into invertebrates, I was definitely victim of some of these common misconceptions/lies about asian lady beetles (Harmonia axyridis). I also used to think 7-spotted lady beetles were native and endangered, and that a common native species was invasive. There is so much misinformation about ladybugs it's insane. To add onto this, here are some species of ladybugs native to the Eastern US that I've found to show that native species do exist, and they're actually quite plentiful in some places!
Saffron Lady Beetle (Mulsantina luteodorsa)
This tiny orange ladybug is endemic to the Southeastern US, and, based on observation records on iNaturalist, of which there are quite few, seems to either be pretty rare or easy to miss. Despite being noticeably way smaller than even the smallest adult asian ladybug, they possess an orange coloration that may make them a target of squishing for the average person. They have no spots, but neither do asian ladybugs sometimes!
Sigil Lady Beetle (Genus Hyperaspis)
A beautiful, but small, black and red ladybug that looks very similar to some of the black and red morphs of the asian lady beetle. This species is native across the Eastern US, and is again much smaller than their invasive look-alikes.
Polished Lady Beetle (Cycloneda munda)
Another spotless ladybug, native across the entire Eastern half of the US. They're slightly larger than the saffron lady beetle, closer in size to the asian lady beetle, but this makes them even easier to mistake for an invasive species. They're very widespread, so anyone in the Eastern US has a chance of finding one—it's just a matter of luck!
Spotted Pink Lady Beetle (Coleomegilla maculata)
A beautiful, common, and hard to mis-ID ladybug that is very commonly found across the entire Eastern US and occasionally in the southwest and throughout Central/South America. These guys are roughly the size of asian ladybugs, but they're very differently shaped and are always a bright, unmistakable pink or red color. From my experience, they're much, much more common in the Northeastern US than the Southeast, but I've still found a few in Georgia, so they do exist here!
Squash Lady Beetle (Epilachna borealis)
A very common native ladybug for anyone who has a garden with squash, gourds, cucumbers, or melons! These guys are minor agricultural pests, eating the leaves of plants in the family Cucurbitaceae as both larvae and adults. They're larger than asian ladybugs are very distinctly yellow, but they are still sometimes mistook for them or another common agricultural pest, the spotted cucumber beetle (Diabrotica undecimpunctata).
Twenty-spotted Lady Beetle (Psyllobora vigintimaculata)
Last but not least, this absolutely tiny ladybug that is native across the entire US! I find them quite often, though they're extremely easy to miss due to their small size. I can't see anyone mistaking one of these for the asian ladybug as their patterns are not very variable and they are, again, very small, but it's good to know what they look like in the case you come across them in the wild.
These are all of the native ladybug species I've personally found and photographed, though in the US there are far more than just these! They're extremely variable and come in all different colors and sizes, some looking very similar to many non-native species. That's why it's important to leave invasive species population control to professional conservationists. The asian lady beetle population is already too established and too large to counteract, and killing a few here and there has no chance of hurting your target species and every chance of hurting the native species you could mis-ID for an asian lady beetle. Please treat all of them with respect, and, if you want to help native species, research them and create an environment where they will want to live and propagate!