Ok but “bug” has multiple meanings, and almost nobody means “hemiptera” when they say it. More commonly, it’s any terrestrial arthropod. Arachnids are bugs. Centipedes are definitely bugs.

Heck, there’s a broader definition that basically includes all arthropods. “Moreton bay bugs” are a popular food this time of year. And they’re a kind of lobster.

My grandma referred to dogs as bugs (positively) and you know what, I agree
Bugcat Capoo - Wikipedia