I think what should dictate going against an ats streak like this is running some searches on what eagles do ats in this situation...off home win, off second half come back etc. if there is a case of something backing the eagles snapping lucks ats streak then play against.
But keep in mind, and I think dr M would agree with this, should not be betting on a lone trend or stat. they are merely more bricks in the wall so make sure you have capped more than just a brick