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I wonder how much of the visible sky it’s affecting from our vantage point. Ie how sure are they that it’s not a near field obstruction?

The video says they would expect other stars to be obscured if the effect wasn't localised to those star systems.

You will the distribution of current candidates in the sky on page 6 of this paper cited in the video comments [1]

Thanks. Says that "While a probability at this level is not generally considered to be highly significant, it does suggest that the clump is real."