While the meter is connected as described it should only close shortly as you switch positions, not once sitting on any position. This is what's called make before brake close the next connection before opening the last one used to reduce switching noise in some configurations or acoid having open circuit on the wiper, as opposed to break before make which opens the last contact before closing the next one, used to prevent shorting between different terminal positions, like selecting different low impedance drivers to a single receiver. This last one is the default, more usual ones.
JS
With the switch in position 1 and the ohm meter connected with its common terminal to the appropriate pole (the one that is switched by postion 1, 2, 3 and 4) on the switch and the other ohm meter terminal on position 1 connection, there should be 0 ohms right?
Now if position 2 is connected to position 1, then I should not see open circuit at any time when I
slowly move the switch from position 1 to position 2. However, I do see open circuit for a short moment, but I don't see this same open circuit when I then move the switch
slowly back to position 1 from position 2. In that case, there's continuity the entire time.