The phase angle shift is same for Dyn1 and Ynd1 transformers i.e. -30degrees. But, I think the problem is, when the two are operated in parallel the transformer with delta low voltage winding will not contribute any current in case of earth fault in the LV system. If this is a necessity, it may be required to provide an earthing transformer connected to the LV terminals of the said transformer.
It is an interesting question, hope others in the forum agree with me.
