... If the wires are backwards, the likely outcome is that you would hear an oscillation? ...
Yes.
Negative feedback is instead
positive feedback, because the polarity of the voltage on the feedback loop is opposite what it should be. Most of the time you get a full-power HOWL, but sometimes the positive feedback leads to early (not-good) distortion, or a weird raspy sound to the treble.
... And curious as to why the right wire to the right plate can't be figured out. ...
On rare occasions, the transformer manufacturer includes "
phasing dots" on the wiring diagram. That is, when the wire with the dot on the primary has a positive-going voltage, the wire on the secondary with a dot also has a positive-going voltage.
You can figure out the phasing ahead of time for an unknown transformer, but you need a signal generator to drive the primary, a dummy load for the secondary, and a 2-channel oscilloscope to monitor the voltages on the primary & secondary at the same time. You can then observe whether the voltage waveforms are same- or opposite-polarity.
Since that's a bunch of equipment & some setup time needed, most just leave the wiring long and a hand on the power switch at first startup, in case the polarity is wrong & the amp howls. No equipment needed, and testing time is quick. Plus a 50/50 chance you got it right with the first guess.