Just my opinion but I don't think the US or UK would have ever developed a Long Lance type torpedo. The Japanese went to the trouble because they were at a strategic disadvantage due to the disparity in shipbuilding capability (with or without the Washington/London Treaties) and they needed an equalizer. Plus, the UK and subsequently the US were committed to developing radar fire control which overcame the Type 93's effectiveness starting in late 1942 and then in 1943.
France's potential enemies in the time frame probably wouldn't have given France the same concerns that the US/UK did Japan because France was, again my belief, expecting to have Britain as an ally in any potential conflict.
It would be interesting to think about what Germany or Italy would have done if they had developed a Type 93 style torpedo or if they had secured a technology trade from Japan to deploy it early in the conflict. Or maybe the Soviet Union if they expected to take on the US/UK in the game's time frame.
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