than it makes no difference how the box is placed. Is that your point?
It makes no difference to the transformer, no. The transformer will hum the same in any orientation.
But, that transformer is attached to the case. I can’t guarantee that in different orientations the case would not resonate more or less. If the transformer has NO hum, then there’s nothing to transmit. If the transformer has a little hum, it is possible some orientation would sound louder than another because either the surface that is coupled to the transformer is now pointed at your listening location, or that the coupling is better to the case somehow due to stresses placed on it.