Before you accuse me of being an idiot…
Here is the help output for bluetoothctl, and it clearly shows a list option (in between transport and show:
bluetoothctl help
Menu main:
Available commands:
-------------------
advertise Advertise Options Submenu
monitor Advertisement Monitor Options Submenu
scan Scan Options Submenu
gatt Generic Attribute Submenu
admin Admin Policy Submenu
player Media Player Submenu
endpoint Media Endpoint Submenu
transport Media Transport Submenu
list List available controllers
show [ctrl] Controller information
select <ctrl> Select default controller
devices [Paired/Bonded/Trusted/Connected] List available devices, with an optional property as the filter
system-alias <name> Set controller alias
reset-alias Reset controller alias
power <on/off> Set controller power
pairable <on/off> Set controller pairable mode
discoverable <on/off> Set controller discoverable mode
discoverable-timeout [value] Set discoverable timeout
agent <on/off/capability> Enable/disable agent with given capability
default-agent Set agent as the default one
advertise <on/off/type> Enable/disable advertising with given type
set-alias <alias> Set device alias
scan <on/off/bredr/le> Scan for devices
info [dev] Device information
pair [dev] Pair with device
cancel-pairing [dev] Cancel pairing with device
trust [dev] Trust device
untrust [dev] Untrust device
block [dev] Block device
unblock [dev] Unblock device
remove <dev> Remove device
connect <dev> Connect device
disconnect [dev] Disconnect device
menu <name> Select submenu
version Display version
quit Quit program
exit Quit program
help Display help about this program
export Print environment variables
And even if linux-firmware-iwlwifi-git is not out of date, it forcefully uninstalls other, critical firmware packages for other hardware, at least from a common sense reading of what it says on the screen. And the firmware from that mini-package appears to be provided by linux-firmware anyway, rendering linux-firmware-iwlwifi-git pointless, at least as far as I can tell.
That AUR package is not made by kernel.org, but instead is made by an end user (elichai2) packaging a tiny sub-set of the kernel microcode git repo, and to install it I need to remove both amd-ucode and linux-firmware, essential packages for my system as far as I can tell.
And none of this answer my root question: how do I find out what’s wrong so I can report it in the right place to get this fixed? I have done what I was told:
I installed bluetoothctl and ran a command to list the hardware (which returned no results on any of the machines with this issue). What’s next?
I have provided the hardware details for the machines. I have listed the kernel versions. I have confirmed that the issue is consistent with this hardware and this kernel across multiple machines. I have included journalctl outputs.