Does it behoove the B/R...?

[professor]

Apparently many of you don't believe there is life after the 3rd out and therefore would never consider an appeal once the 3rd out is recorded. Let me change the scenario just a little. Bases loaded, 2 outs. B/R gets a hit, r3 and r2 score, r1 is thrown out advancing to 3rd for 3rd out. B/R ended up on 2nd but missed touching 1st. F3 calls for ball and appeals. Under 7.10d this appeal should be upheld thus becoming the 3rd out, superceding prior 3rd out an negating both scored runs. NOW...for interpretation and application of the rule, is there a difference between a B/R running but missing 1st base and not running at all?? The net result is in neither case did the B/R touch 1st. Makes a case for running and touching 1st even after 3 outs...right!!