Generally, a 'grounding transformer' is a transformer that derives a neutral which gets added to an ungrounded delta system to provide a neutral which can then be grounded.
The requirement is that this transformer be low impedance with respect to ground faults; if you connect one of the delta phases to the neutral point, lots of current is supposed to flow, just like a fault to ground in a conventional grounded wye system.
A set of wye coils doesn't have this required low impedance; just like an ordinary transformer you only get magnetizing current to flow in the primary if you have no current flow on the secondary. In the transformer you describe, a ground fault would cause current to flow on the wye 'primary' side and circulate on the delta side, giving the required low impedance.
Another option for a grounding transformer is a 'zig-zag' connection, where your 'wye' is broken up into two coils per leg, and half of each phase sits on a transformer core with half of another phase. There is no need to go into the details of how this works, the key point is that it permits lots of current to flow from a faulted phase through the grounded neutral point.
-Jon