Watto was aware of the Jedi and knew they existed, though. "What do you think you are, some kind of Jedi, waving your hand around like that?"
That was ten years before order 66, therefore 30 years before Han Said what Han said.
Both Republics may be a lot smaller than we thought.
The Empire might be a lot smaller than we thought.
What if there are massive civilized areas of occupied space adjacent to the Empire/Republic where the Jedi are bared or excluded?
Example: Green Lanterns are banned from Earth's Solar System in the 31st century. No idea why.
Example: After the Monks of the Foundation assimilated the four Kingdoms of the Periphery by pushing atomic science with strings, the nearby ramshackle worlds descended into barbarism, didn't feel like saying "Yes" to enslavement, as they started digging for coal to keep their cities warm.
Consider what the Jedi did, and why it's a bad idea to let them run freely through your space.
They listen to the voices in their head and kill without thinking whenever some aspect of the universe disturbs their right and wrong.
They're not police.
They don't enforce law written down in a book.
They just whimsically cut limbs off anyone who seems like they might be guilty of doing something.
And they're allowed to do this?
Are they like Bond? A license to kill (and maim).
Also...
I can only see that the Jedi will "look after" worlds that pay the Jedi to do so in children.
Quid pro quo.
Qua Gon Gin said the Republic screenings would have identified Anikan as a force user when he was much younger, but think about that. Every child is tested, and any child that is found to be a potential Jedi is taken. On one hand maybe the parents are paid, as their children are dragged away never to be seen again, on the other hand their children are taken, and most parents really, really don't like that.
Although untrained potential Jedi arn't much to worry about, unless a Sith gets hold of them?
Are the screenings to recruit Jedi or starve out the Sith?