CB19, the issues you describe are common symptoms of an undersized (diameter) supply line. Although you didn't specify the diameter or type of the current supply line between the cistern and house, I anticipate there would have been no need to compensate with a second pressure tank in the home if the supply line had been sized appropriately in consideration of the 1350' length of run and the home's flow requirements.
I suspect the pressure tank at the cistern is larger than the PT in the home. If the PT within the home was larger than the other, then as Valveman mentioned in #13, it is likely the pump will become reactivated each time the pressure falls below the pressure switch cut-in setting when it fills the larger tank after the pump was shutdown initially.
Friction will be greatest for the layers of water nearest the inner surface of a pipe whereas the water nearest the center will have the least friction (water on water) and so will flow more rapidly. Because friction loss is cumulative along the length of a run, increasing the pipe diameter appropriately can compensate for friction loss which is calculated in relation to the flow rate needed.
Another potential source of flow restriction is a restrictive or partially closed isolation valve. Full port ball valves are the preferred choice, but gate valves will also provide full flow, but the gate may become disconnected from the stem, which can result in a flow restriction even as the valve seems to be fully open. Since the flow path through a globe valve results in multiple changes in flow direction, globe valves will be most restrictive and should be avoided if possible.
Your motor analogy is not a true comparison as starting a motor from dead stop will be most similar to a short circuit since that is when the motor will briefly consume a much greater amount of power compared to power draw while up to speed and operating within design load. Opening a faucet to allow 2 GPM flow, will not cause a brief 12 GPM flow through the faucet before reducing down to 2 GPM.
As Valveman stated, water is not compressible and once pressurized, will flow immediately in any direction once there is any opening in which to escape.
Consider the many miles that water will often travel between the water source and each home in many municipal water distribution systems. Opening a faucet that is miles away from the source, does not result in any delay before water will flow from the faucet.