***Disclaimer, fishing for walleyes on Pool 4 through the ice is not my specialty nor a regular occurrence, but I’ve done it some. It’s regularly a very slow go, but we’ve had random days making it worth our efforts***
There are a couple places I’ve ice fished on Pool 4 that have substantial current. In these spots an old fashioned jig seems best. I’d say an ounce wasn’t necessary, but a quarter or 3/8 for sure. Those jigs posted would do fine in these conditions. Depth is also a factor as well as current. Fishing current in 12-14′ of water is different than fishing in 20’+ moving water and would take a heavy jig/bait. On Pool 4 it’d be extremely rare for me to target fish over 15-16′. Anything beyond that is likely dinky and not worth my time coercing 6″ saugers to bite. By moving shallower the odds of me finding bigger fish and not needing as heavy of a bait are both pros in my book.