The deletion of “Rich and Happy” really hurts the Merrily overture. Another example of ignoring a cut: “Misery” (aka “Mis’ry’s Comin’ Around”), deleted from Show Boat in DC, is quite prominent in the overture, almost to the point of being the theme of it.
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However, "Loopin'" is still heard in Chicago as the melody for its overture.
Left: "Loopin' the Loop" in Philadelphia.
Right: "Hot Honey Rag" on Broadway.