Same issue on a 16 Pro Max, upgrade started on 17/08/25 when I plugged the phone in, then the device switched off and wouldn’t respond to anything apart from a MagSafe power bank.
I managed to hard reset it after 24 hours of trying, ultimately fixed by using a MagSafe power bank and holding the power button for around 5 minutes (I set it up in a jig). USB-C still didn’t work until I restarted the device. The device has restarted randomly twice since.
Took it to Apple, completely useless as they couldn’t pull any crash logs and simply responded “well it’s working now and it passed our 2 tests”.
When I was in store, there were 3 others with the same issue on a mix of 16’s and 16 Pro’s.
My running theory is the upgrade failed due to low battery and the upgrade de-registering the USB-C port temporarily, but long enough for the software upgrade to register that the device doesn’t have enough power to continue.