The quote refers to automatically handled alarm type zones. Since you do not want the burglar alarm to go off when you press the door bell this is not relevant.
With the Zone Resistors setting OFF, NC is SECURE, NO is NOT READY. NOT READY on an "alarm" zone triggers the alarm. With the Zone Resistors setting ON, a 1K ohm loop is SECURE, anything else (open or short) is NOT READY.
In your case if everything else is setup and working the way you want, then just set the Zone Type to AUX and leave everything else alone. NC will indicate a zone status of SECURE and NO will indicate a status of NOT READY.
Now typically we tend to think of the door bell as not ready when someone pushes it and the typical door bell routine is triggered by a line like "WHEN Door Bell NOT READY...". In truth the controller doesn't care. If the door bell is NO except when someone pushes the button, then you just modify the programming.
WHEN Door Bell SECURE
THEN SAY Guest At Front Door