GamerGate - So apparently, this happened

When someone "criticizes" something by calling it "homophobic" "sexist" without a single argument grounded in accuracy, they an their critic deserve to be criticized just as hard.

What the image above shows is someone who essentially says "anyone who questions criticism of Fire Emblem Fates is a GamerGater, and therefore their point is invalid as they are sexist and homophobic".

This kind of stance is extremely detrimental to any healthy argument.

And here we have the motivation behind the narrative. Now that they believe that they've firmly established Gamergate as evil, they can dismiss anything else they want as wrong by pointing to gamergate. It's a circular argument to be sure, but it serves their purposes well enough.