The Constitution doesn't grant rights, it binds the government. The first amendment is a law that disallows the government from taking actions to infringe on any human's inherent rights, be they individuals or in a group.
It's about the dichotomy. If the NY Times has First Amendment rights then Pfizer does.
That annoys people because Pfizer is going to advocate for things some people might not like. But that's the cost of a rule that makes it so the NY Times can advocate for things other people might not like.
