IRC is a distributed system much like a CDN is distributed, that is spread across the network.
what we are actually interested in is distributed ownership.
email is that, as is the web, but IRC is not
Nonetheless, that doesn't make it any less of a problem that the definitions are severely overloaded. The issue is not that the article is unclear in its definitions (even though it is imo), the issue is that its hard to have discussions about the topic and compare to other articles, because people talk past each other. Words having agreed meanings is important so we can connect ideas to a broader context and not just talk about individual articles in isolation.
distributed ownership, aka federation does not require trust between operators as each operator is trusted only to manage their own servers without being able to control entities that originate from other servers
Whether or not its possible for one party to dominate the network is one of the potential properties of a "distributed" system that people cannot agree on if its required in the definition.
For example, napster, TOR and IRC are arguably "distributed" systems where there is a central party that controls the network.