wireless charging

The orientation doesn't matter because the direction of the magnetic field around the coils is the same.

I don't quite understand your statement here. When the AC charging magnetic wave interacts with the coil in the phone current travels in one direction and then in the opposite direction depending on the part of the AC cycle. Most likely the phone uses full wave rectification to get as much energy as possible out of the wireless charging magnetic wave. Therefore orientation of the coil in the phone to coil in the charger doesn't matter.

I actually took a wireless charging receiver and connected it to my motorcycle helmet to allow for wireless charging of my Sena Bluetooth communicator. It's just a flat piece, but it did not work if I faced the wrong side towards the charger. It would have been slightly more convenient for me if it did, but the charging failed during testing if I faced the wrong side towards it.
Again, most likely shielding and components inside the device on the other side block a significant amount of the magnetic wave from reaching the charging coil.