Mystery of the one way holes?

When you pour into the jar via the cloth, air from the jar can still escape through the jar's mouth beside where the water flowed.

But when you turn the jar upside down, Outside air pressure pushes the water up. The outside air cannot go around the plug of water to push the jar's water down. Even if there's air inside the jar, there's less of it than the amount of air outside the jar, so pressure from the outside air is larger.

What is happening is in order for the water to pass through the cheese cloth air must pass through it in the upward direction to fill the void space left behind in the jar. The high surface tension in the water reinforced by the cloth will not allow the air to pass.

the act of water going through the cloth sets up a vacuum which makes the holes "one way"

Air can't get in so the water can't get out.

pressure will be more out,,as your liquid protected from air entrance