No, the keyboard is unresponsive. I also tried Ctrl+Alt+F1...F7, and got absolutely nothing.
I did a BIOS update, as advised here, and the behaviour changed! Now the freeze happens BEFORE the PC goes to sleep. As in: it gets to the frozen state the moment I click the button and the screens remain on.
So, I did a BIOS update, as advised here, and got some interesting results!
The freeze still happens - but it now freezes BEFORE the PC shuts down.
As in: I click the Sleep button, all devices get disconnected (audio, network, BT, input - all of it goes), the OS freezes, but the screens stay on. I cannot switch to a different VT at this point as everything is disconnected.