"How does Hobby Lobby benefit? First, since the Greens have unshared control of the scholarship and discoveries within their collection, they can also pilot any narrative about an item."

The Catholic church has been "piloting a narrative" about the NT for the past 2000 years (i.e., that Catholic "tradition" is the only legit lens through which the Bible may be understood).   And part of that understanding is that there is only one way to read the Bible - - as a confirmation of the church's unrivaled legitimacy.   

Whether the church's narrative-piloting is Truth is for each to decide for themselves.   But it's a bit thick to ring alarm bells because the Green family might also want their say on what the Bible is saying.