Nope. Distance and tension are not the same. When you take up the slack by rotation change of the sprocket, there is less chain under tension between the sprocket and the crank on the drivers side, so there is more chain under slack on the passenger side. . It is a bit confusing as there are many teeth grabbing the chain at the same time and it is continuous. An easier way is to think of the chain as a string tied to a fixed crank. When you go from 1 to 3, you are pulling tighter on that string so the excess string falls behind the puller on the slack side.
For an observer working from the top of the engine like @siteunseen did, moving the sprocket from 1 to 3 while keeping the crank at TDC, it appears that the chain is getting tighter but this illusion is because they can not observe the resultant extra slack hidden inside the timing cover area. For an observer like @Captain Obvious with the timing cover exposed, they can see they are making more slack and the tensioner is protruding more to correct it.
See it is special relativity and is dependent on the viewer ?