Here in NY, we learned it a little differently.
Wind from the west, fish bite the best, wind from the south blows your bait in their mouth, wind from the east, fish bite the least. Wind from the north, only fools venture forth.
I'm guessing that wind from the west translates to prevailing winds at your latitude. This would often be fair weather and high pressure. North, in my case is where cold air comes from and cold fronts tend to give our fish lock jaw. As for east biting least, that translates to opposite the prevailing winds at your latitude.
As for how winds really play... I've not seen the poem hold true. Barometric pressure, along with moon phase, frontal boundaries, and tides in marine areas, however, have shown pretty noticeable differences for my fishing success. My best day fishing for walleye in years, had an18 mph east wind with 4 ft waves on Oneida Lake.