Uber quick n00bish paranoia question!

Would it be possible to use these buttons with only 2 wires?
http://www.oomlout.co.uk/pushbuttons-x5-p-196.html?zenid=169a47ea9f8f15b7377a8475f4a5b953

Despite this tutorial:

Saying you need three?
(yes, I understand the main difference would be that the button always reads HIGH and then goes LOW when pushed down).

Saying you need three

It doesn't say that!

It uses a push button that happens to have 4 connections, however two of them are the same electrically there are only 2 real connections on that switch.

So it would be, in fact, possible to take out one of those wires, and just wire it up as

          __
      ---|  |---
   +5v___|__|_.__Input
              |
              |Gnd (via 10kOhm)