So they would make up something much more complex and hard (satellites) to hide how their actual system works? You see how that makes no sense right?
Yes, they would.
Making up a complex system (satellites) doesn't involve actually making a complex system.
I think you are actually asking, what would be the motive, right?
Well, that's where #teamflat comes in and asks some tough questions. If there is an agenda to hide the fact that there is an impenetrable dome just above the sky (and space isn't what we've been told), then satellites are the perfect ruse. They seemingly 'confirm' the globe Earth 24/7, and they also add to the narrative that we've really been to the moon.
Propaganda has been used this way for a long time. Plus, the idea of satellites watching your every move right above your head is a potent psychological mechanism of control. See: panopticon.
When you ask "why fake satellites?" there are several plausible theories like the above.