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This seems to work
Format[\[EmptyUpTriangle][\[Theta]_]Format[△[θ_], TraditionalForm] := HoldForm[\[EmptyUpTriangle]HoldForm[△ \[Theta]]θ]
Format[\[EmptyUpTriangle][\[Theta]_], TraditionalForm] := HoldForm[\[EmptyUpTriangle] \[Theta]]
Format[△[θ_], TraditionalForm] := HoldForm[△ θ]
