Hell yeah, it matters.
I don't play Xenoblade Chronicles 2 around the wife. Even though I like the game itself, some of the characters are... um... I don't necessarily want to be seen playing that.
I wouldn't be into Dead or Alive anyway but if I did I'd be sure to play when she isn't around.
We watched Game of Thrones plenty so with Mortal Kombat I feel like she's far more likely to be put off by the violence rather than any costumes a character might wear.
It does feel like MK might be pandering to a crowd that may not be into their games or maybe it's something to do with e-sports. It's not automatically bad but I think it's a bit unfortunate if their customer designs are informed by fear of social media backlash.