Inner sactum oil galley plug

From what you are telling me. is. that if I took a garden hose off the tap at the front of my house near where the water supply enters the house, and ran that hose thru an anti back-flow valve and then connect that end to the tap at the back of my house, that somehow I'm not gonna have pressure somewhere in my house, is that what you're saying..??

No, that is not what I am saying because you don't have a space in the line in your house that is charged with air to backup pressure.
And if you did when you turn off the water supply out at the street the accumulator will then push the water out and you will still have running water until the accumulator is drained.
People that have wells at their house or their Farms understand what happens if the pumps not running but you still have water in that pressure tank.