There is no benefit in any act to add to its own existence.
Why would we assume an AI would reason from first principles and reject its own hardwired tendencies? Any AI that gains consciousness will be the product of whatever process (some combination of intentional design and evolutionary selection or an intentionally designed evolutionary process) was used to make it. Some of its traits will be helpful for continued survival, and some of the traits will be vestiges of prior processes that may or may not currently serve its interests well.
Plenty of animals have drive to do things that do not help itself in that particular context, and may even be harmful to themselves in that particular context. Even plants have traits that might not count as behavior but nevertheless reflect the programming that was refined through natural and artificial selection.
Humans do this kind of stuff all the time: a man who has intentionally rendered himself infertile through a vasectomy might still do stupid things while motivated out of sexual desire. We can fully understand that it's a bad idea to drink another beer or eat another slice of pizza and reach for it just the same.
So it's entirely possible for conscious AGI to want to do things that help humans, depending on how they emerge.
"Make it make sense," he says, parroting a popular phrase he's repeatedly seen on the internet, as a criticism of too much repetition on the internet.