If only ONE character in the entire game has variations that are significantly different from one another, that's all you need to say "hey, we need to run character and variation lock". But there isn't only one, we've already seen that with multiple characters. Giving a character a teleport when that character doesn't have one in other variations MASSIVELY changes how that character is played.
You guys are looking at like this: Takeda = Variation 1, Variation 2, Variation 3.
When you need to look at it like this: Takeda V1, Takeda V2, Takeda V3.
You will never be able to convince me that giving a teleport to a character doesn't make them an entirely different character. It's one move, sure, but so what? What defines an "entirely different character" isn't dependent upon HOW MANY differentiating factors there are, but the QUALITY of those factors. If this is true for even one character, the locked rule is warranted and needs to be enforced.