This year, the Grizzlies, who are probably (mutually agreed between the two of us) the most post-heavy offense in the league, has 1,797 shots and 647 FTs from post players and 2,618 shots and 616 FTs from wing players, which means that wings launched 59% of the FGA, and 49% of FTs.
The 1994 Rockets, which is the team that shot, by FAR, the most 3 points in the league that year, have wing players shot 3,804 FGA and 910 FTs, vs. 2,929 FGA and 1,068 FTA. In other words, 56% of FGA from wing players and 46% of FTs.