what would be veeeeeery funny would be to ask someone who prefer polished sending to a "neutral" fellow their best take at "coarse" sharpening and vice versa.
i'm 99% sure that the toothy guy will send a rounded polished edge and the polished guy will send a burred toothy edge.
you're right on that, both work, both cut, neither fail, slide or whatever when they are well done. they just don't work the same. i prefer polished edge but i do both, one of my scandi customs (tlim from poland, NC6 steel ht'ed to bainite, very good inexpensive custom workhorse) is actually sharpened on the flat side of my 60 grit naniwa stone flattener (SiC) the edge is a pain to get crisp but it works pretty well. won't push cut but slices well. all my kitchen knives (japanese carbon and tool steels for 95%) are sharpened to 10K naniwa SS and maintained on a strop loaded with HA CrO.