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Satoru Gojo is not some kind of hero or young man with a heart of gold who wants to change the world. The main point of the character is his boredom and loneliness in being completely superior to all the people around him and his goal with his students is to create people who can "exist" on the same level as him.
Cursed speech only forces the target to execute brief commands if it affects their mind. If, for example, Inumaki orders someone to kill themselves, that person's body will carry out the order under the influence of power, but their mind remains unchanged. He doesn't change anyone's will or control thoughts.
This is a common fandom confusion, but Gojo's power is unable to manipulate space freely. It can only do so by involving the concept of infinity (which is what gives the CT its name). Gojo can't do things like portals or space cuts, he's limited to working by flexing the concept of infinity.
How Alluka's powers work is a complete mystery, but it's a universal law of the Nen that one must offer something equivalent when doing anything with him (be it an amount of aura or conditions imposed by the individual), so there must be something being offered by Alluka to fulfill the wishes, we just don't know what it is... That's what they talk about.