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In the left-hand position above, 22/11 is properly nactated S, though you can get by with R because there is no real ambiguity: it is clear what you mean (i.e., it is the closest legal move that looks like R). Indeed, I realize that in conversation you would tend to call 22/11 a Running play (though it is also a Split-and-down play if you dissect it).
In the right-hand position, R (Run) = 24/13, and S (Split-and-down) = 22/11. Once upon a time, the former was r and the latter R. Why did I change that paradigm last year?
The answer is that it clarifies matters overall to treat different portions (halves) of the move separately, and drawing R's line at the midpoint is the clearest distinction and the easiest place to remember.
(The "portion" approach is especially important, vital even, when nactating complex doublets plays (treating the move as four distinct portions).
Consider the two examples below (two diagrams for each example).
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In the (simpler) right-hand position, Blue rolls 52. If he plays 18/11, it is nactated S (as before). If he plays 24/22 18/13, it is nactated R (Run).
That's a warm-up. The second example (below) will bring the point home.
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In the (simpler) right-hand position, Blue rolls 65. If he plays 22/11, it is nactated S (as before). If he plays 24/13, it is nactated R.
Note the similarity in the left-hand and right-hand positions: 22/11 is nactated S in both situations (the hit being irrelevant to the underlying issue).
Now note the similarity between this right-hand diagram and the first right-hand diagram of this post. They are, in fact, identical.
In short, if a checker is played to the near side of the board, it is no longer an R play.
Nack
P.S. An R play is not only confined to the far side, but one of the destinations needs to be in the 17pt to 13pt range (not 18pt to 13pt). A move with both (or all) checkers played to the 18pt or further back is in the U/V family. For further clarification, read the bottom third of this post, and most of this post.