As for dictionary definitions, youre right about what the first definition is, but many recognize what I pointed out (insects as animals). Definitions other than the first aren’t wrong, they reflect that people use words in ways other than biologists do.
anything that lives and moves, including people, birds, etc.: Humans, insects, reptiles, birds, and mammals are all animals. Cambridge dictionary
Any living creature other than a human being can be referred to as an animal. Collins
any such living thing other than a human being. Dictionary.com
You can view some profiles (authwall for others) and some show all content (tried it out with bbc and forbes), others drop relatively recent content while some others only show ancient content from a year or more ago.
The latter two were when I tried opening the twitter pages for some smaller podcasts I follow.