A center-tapped/reconnectable set of windings is connected a lot more like delta than it is like a wye.
I ask for a little leeway with standard designations, and ignoring external connections.
Given three transformer coils X1-X2, X3-X4, and X5-6.
A delta connection would be X2&X3, X4&X5, and X6&X1 -an open delta could be just X2&X3
A wye connection would be X2&X4&X6 - an open wye could be just X2&X4
So an open wye is the physical connection of V12+V43, while an open delta is the physical V12+V34, giving two vastly different results.