With only three leads, it has only one voltage rating. Looking in from the terminals, with the three phases connected, there's no was of telling whether it's a delta or an ungrounded wye; taking the motor apart is just cheating. ;-) Nothing in the application of the motor will differ between the two. So, the determination of which it is is entirely esoteric. But, I do like your magnetization test, rather clever that.
Once there's at least 6 leads the whole ball game changes. Nine leads seems to point to one internal wye. Six or twelve leads can be either, or something else altogether. With 6, 9, or 12 it's important to connect it correctly for the applied voltage. But 3 makes it so simple, either it works at the supply voltage or not. No worries about a whole variety of specialized motors that may show up with more than 3 leads.
The OP must have life far too easy and wants to find ways of complicating it.