There is a green symbol (https://prnt.sc/nxix8l) on the Kallzu Dashboard in addition to the CJ Affiliate, Exact Match, and Goojibear. Are these affiliates all part of the same group?

That symbol is the Invoca symbol. Invoca is the platform that most affiliate networks (including Kallzu Konnect, CJ Affiliate, and Exact Match) use. The reason why you're seeing it is due to the fact that they are all using the same platform and would have a similar interface. Also, by clicking your name or email on the upper right corner of the affiliate website, you may interchange your login from one affiliate to another almost instantly.