Say you don't bond the center tap to ground and you measure the voltage from either A or C phase to the tap, can you tell me what that voltage will be? And exactly how that voltage is generated?
It will be half the voltage of the full winding, and it is generated the same as any other voltage is generated. It is also transformed the same, the secondary winding will have be 1 to 1, 2 to 1, 3 to 1 or what have you depending on the higher primary voltage, OR reverse that if the primary voltage is lower.
This is simple transformer basics.
Why would you think the center of a windings voltage has anything to do with bonding?
If I wanted to derive 240 ungrounded voltage from a 480 volt winding, I would simply tap the winding at the center point and connect the other side of the circuit to either end of the winding. Barring code issues, I could do the same thing if I needed 120 ungrounded voltage from a 240 volt winding.
So see, the grounding or bonding of this point means nothing.
Roger