If you ask Google to define "supposedly" it says: "according to what is generally assumed or believed (often used to indicate that the speaker doubts the truth of the statement)."

I hate these sort of semantic arguments. In case my sentence was not clear, I don't support the things that have been done to people under the guise of "Gamergate", I don't think she slept with anyone (nor do I care nor see why it is relevant), I don't think Kotaku gave the game good press because of the "alleged" romantic relationship, I honestly I don't give a shit about any of it, and I feel like I lost "the game" by even attempting to casually engage with this dumb fucking topic in any way.