How to override the output from the Joomla! core

From Joomla! Documentation

The link to the pdf (Andrew Eddie's presentation) did not work for me. I got a 404 and could not 'save as'. Phil n 02:42, 8 September 2009 (UTC)

I have removed the link for now. It can be added back if it resurfaces somewhere. Thanks for the heads-up. Chris Davenport 08:44, 8 September 2009 (UTC)

Editing Talk:How to override the output from the Joomla! core (comment)

There is mention of the beez template and the paths to the, say, the users stuff and the default.php file. I guess my question is, what happens if you are using the ja_purity or the rhuk_milkyway template, both of which also come as default templates when loading Joomla? Does editing the files located under the beez paths given provide the results that will be seen using those other two templates? (In other words, I don't see ANY of those paths under the ja_purity template, which is the one I'm using).