Free xbox 360 if from 2005?

[COLOR=navy][FONT=Arial]Since Microsoft replaces or fixes any xbox 360 manufactured before Jan 1, 2006, If I bought it on ebay, do I need to register the xbox? Will Microsoft check who it’s registered to etc. or does it not matter? So basically they just check the date on the xbox and if it’s 2005 they will fix or replace it?[/FONT][/COLOR]
[COLOR=navy][FONT=Arial]Thx[/FONT][/COLOR]