The Asus STRIX Claw mouse is detected, but wrongly reported as a keyboard, and doesn't work at all.
The Asus STRIX Tactic Pro keyboard partially works in non NKRO mode, but keys combinations aren't detected, making it unusable. It doesn't work at all when turning on NKRO.
A kernel recompilation with HID_MAX_USAGES increased to 65535 - as recommended in that topic for a similar gaming mouse - partially fixed the problems, for both the mouse and the keyboard. After booting with the new kernel, the peripherals are usable, and behave like this:
The Asus STRIX Claw mouse properly works in lowest DPI mode. It ceases to work if any DPI button is pressed, and thus needs to be unplugged/replugged.
The Asus STRIX Tactic Pro keyboard now fully works in NKRO mode, with any number of keys combinations. The non-NKRO mode is unaffected (keys combinations still don't work).
Below are the outputs of some commands for background information about USB detection, before kernel recompile:
$ lsusb
Bus 002 Device 002: ID 8087:8001 Intel Corp.
Bus 002 Device 001: ID 1d6b:0002 Linux Foundation 2.0 root hub
Bus 001 Device 002: ID 8087:8009 Intel Corp.
Bus 001 Device 001: ID 1d6b:0002 Linux Foundation 2.0 root hub
Bus 004 Device 002: ID 05e3:0616 Genesys Logic, Inc;
Bus 004 Device 001: ID 1d6b:0003 Linux Foundation 3.0 root hub
Bus 003 Device 011: ID 195d:1016 Itron Technology iONE
Bus 003 Device 012: ID 195d:2039 Itron Technology iONE
Bus 003 Device 006: ID 046d:c044 Logitech, Inc. LX3 Optical Mouse
Bus 003 Device 005: ID 046d:0a29 Logitech, Inc.
Bus 003 Device 004: ID 05e3:0610 Genesys Logic, Inc. 4-port hub
Bus 003 Device 001: ID 1d6b:0002 Linux Foundation 2.0 root hub
$ xinput -list
⎡ Virtual core pointer id=2 [master pointer (3)]
⎜ ↳ Virtual core XTEST pointer id=4 [slave pointer (2)]
⎜ ↳ Logitech Logitech Wireless Headset id=8 [slave pointer (2)]
⎜ ↳ Logitech USB-PS/2 Optical Mouse id=9 [slave pointer (2)]
⎣ Virtual core keyboard id=3 [master keyboard (2)]
↳ Virtual core XTEST keyboard id=5 [slave keyboard (3)]
↳ Power Button id=6 [slave keyboard (3)]
↳ Power Button id=7 [slave keyboard (3)]
↳ Eee PC WMI hotkeys id=12 [slave keyboard (3)]
↳ Strix Claw Strix Claw Gaming Mouse id=10 [slave keyboard (3)]
↳ ASUS ASUS Strix Tactic Pro Gaming Keyboard id=11 [slave keyboard (3)]
$ xinput list-props 10
Device 'Strix Claw Strix Claw Gaming Mouse':
Device Enabled (151): 1
Coordinate Transformation Matrix (153): 1.000000, 0.000000, 0.000000, 0.000000, 1.000000, 0.000000, 0.000000, 0.000000, 1.000000
Device Product ID (271): 6493, 4118
Device Node (272): "/dev/input/event2"