If you throw a party in your rental apartment you are not a host? I guess you could even claim that renting means you do not actually have a home if you want to be really pedantic.
Perhaps you care about qualifications, but others just care about being in control of the servers they depend on and having options when the providers helping to run those servers become unreliable and choosing the most cost-effective option to achieve that. Unless you have an actual argument why the distinction matters besides "it allows the plebes to play" then few will care about what you think the term "self-hosted" should mean - even more so when you yourself still depend on your ISP and power company.
Perhaps you care about qualifications, but others just care about being in control of the servers they depend on and having options when the providers helping to run those servers become unreliable and choosing the most cost-effective option to achieve that. Unless you have an actual argument why the distinction matters besides "it allows the plebes to play" then few will care about what you think the term "self-hosted" should mean - even more so when you yourself still depend on your ISP and power company.