I don't think so. JMP has the perfect flexibility to offer value labels on top of the values themselves which is complementary and should not be a substitute. this allows for multidimensionality.
table summary is the only case i came across so far in the program that has this behavior of guessing that value labels should be recoded on the fly.
please let me know if you are aware of any other platforms/processes that do that.
in addition i do not find it correct to sort by the labels rather than the values. consider the following: using a variable that takes values from 1-5 where the user has labeled 1 as "Low" and 5 as "High". in this case the summary by that variable will come in an unintuitive order. (i.e. High, Low, 2, 3, 4 instead of low, 2, 3, 4, High). and that is in a case of trivial labeling. if labeling is more "sophisticated" then the difference between intuition and results can increase even further.