I believe the two bolded sections above (the rule and your interp) are in conflict. If the runner is required to avoid "the fielder or the play", then by definition, the fielder is making a play on him.
If a fielder violates 8-4-2f, then he is in violation of 8-4-2f. In order to be in violation of 8-4-2b, he must violate 8-4-2b.
8-4-2b is exclusive to the slide. It articulates the manner in which a runner may legally slide. That's it. If a runner does not slide, then 8-4-2b is 100% not applicable.
SDix00: In regard to the bolded sections being in conflict, I am not sure that is the case. Why, by definition, would the play have to be being made on him? Why couldn't he be the retired runner and the play being made is the the throw to F-3 to retire the BR? The turn at second base is a play on R-1, but as soon as R-1 is retired, the play being executed by F-6 (or F-4) is on the BR, correct? The retired R-1 must now avoid the fielder or that play. R-1 has an affirmative duty to avoid the play.
As for my extension that this is a violation of 8-4-2b, I was right in my initial assessment of, "I may be off base here." You are correct, it applies only to the slide.