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It depends on how they market themselves.
There are genuine couple streamers I enjoy, but if you present yourself in a more traditional idol light, that is, for (you) then yes acting flirty with others is a betrayal of the sentiment, and not what I came for.
Think of it like this, I don't want fat bastards in my CGDCT animu, but have no issue with them in a doujin.
It's all about how they sell themselves.