I think you misunderstand corporate personhood. It absolutely includes all the things I mentioned. This article[1] has a good overview of the topic which includes a quote from the US Code: "In determining the meaning of any Act of Congress, unless the context indicates otherwise—the words "person" and "whoever" include corporations, companies, associations, firms, partnerships, societies, and joint stock companies, as well as individuals."

[1]https://en.wikipedia.org/wiki/Corporate_personhood