Is using both wireless/wired charging simultaneously for an iPhone faster? The other day my younger sister had her iPhone plugged in via Lightning cable to the wall and she then put the plugged in phone on a wireless charging dock.

She swears it makes the phone charge faster and won't listen to me tell her that the engineers probably didn't design it that way.

Is there any formal documentation from Apple where they mention this use case (and whether or not it would actually charge the phone faster?) I suspect anything but a document written by Apple won't be enough to sway her opinion.
Your iPhone won't charge wirelessly when connected to USB. If your
  iPhone is connected to your computer with USB, or if it's connected to
  a USB power adapter, your iPhone will charge using the USB connection.


Source: How to wirelessly charge your iPhone 8 or later.