It is an extreme and oversimplified analogy, but....the paradox of trying to CHOP down a tree with a CROSSCUT SAW , and trying to SLICE a phonebook with an AX ...No one would try that, of course, but it illustrates the disadvantages and inferred advantages of each <in exaggerated form, I concede

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I also concede, for the average ELU there isn't gonna be a huge noticeable discernible difference in the two edge finishes in either REALISTIC application...
With all other things being equal<a HUGE assumption>, toothy is gonna perform better in slicing tasks, but will probably need touching up more often...and polished is gonna excel in chopping, chiseling, and similar applications and will experience less apex degradation...
so in the final analysis although I keep that analogy in the back of my mind, I don't obsess too much over it, and I sharpen because I enjoy the zen feeling I get from the exercise plus it's pretty easy to go from one finish to the other and I do that fairly often