[cassianoleal]

So do I. I can also use it without a puck on my other computers, and probably consoles.

The puck comes with the controller. You connect a cable to it. Do you mean there's a whole puck inside the machine?

Or is "puck" now shorthand for a wireless controller adaptor? What about the actual physical puck, with the cable and the magnets?

[lawn]

You can use the steam controller over Bluetooth, the puck is really a 2.4GHz dongle that (allegedly) gives better performance/reliability of something.

The Steam Machine has the 2.4GHz dongle part as well as a Bluetooth adapter.