Did some testing, compared to the Max Swings guide I found that:
Juan and Shabon got a 7th swing with Top Commander
Mel gets a 6th swing with Top Commander
Nei gets a 6th swing with Top Commander, or a 5th swing with just a Gale Rune
Ruby, Hugo, and Watari get a 5th swing with Top Commander
Joker gets a 4th swing with Top Commander and 5 swings with Top Commander and a Gale Rune
Ayame and Nash can get a 4th swing with Top commander, but Nash might need some speed boosting gear
Rhett gets a 4th swing with Top Commander
Sharon and Gau get a 3rd swing with Top Commander
Beecham, Borus, Edge, Fred, Mua, and Samus can get a 3rd swing with either Top Commander or a Gale Rune, though some might require a little extra speed from gear to get there
Salome and Duke get a second swing with either Top Commander or a Gale Rune
Twaikin can get a second swing with both Top Commander and a Gale Rune
Rico can get a second swing with both Top Commander and a Gale Rune but needs 179 speed, while Leo can do this as well but isn’t going to get there without doing the Stone of Speed trick
I didn’t test the dogs or the mages, didn’t see the point. I Still need to test Kenji, Bright, Bazba, and Dupa. I forgot to test Kenji and Bright, and I wasn’t able to get the lizards a second swing with their levels in the low 50s. It’s possible that Bazba at level 57 with a Gale Rune might get there, or that Dupa with 5-7 levels worth of additional speed stat might get there. Any characters not mentioned in the above list I was not able to get an additional swing with any combination of Top Commander, the Gale Rune, and additional speed boosting gear.
What surprises most about my testing was how few characters actually benefit from a Gale Rune end game. Only Nei, Salome, Duke, and 1 hand sword users with B swing benefit from just the Gale Rune, while Joker, Twaikin and Rico get their Max swings using both a Gale Rune and the Top Commander appointment. That is it, nobody else benefits from a Gale Rune aside from using it instead of speed boosting armor to get their normal Max swings.