I don't think any of these burners replace Nero Vision as Nero Vision allows you to capture and encode video as well as burn.
In my experience most of the free programmes don't give brilliant results. I never had much success with Nero Vision either (though I haven't used it recently) and always got poorly synced audio and video.
If he simply wants something to copy DVDs (home made or commercial)
DVDFab does the job (and burns the discs) very well with literally two or three clicks. The Platinum version also has a plugin called 'mobile options' (extra cost) to allow you to produce output suitable for portable players such as the iPod and loads of other makes.
If he wants to create his own DVDs from TV programmes (from TV or downloaded from website) then he will need something that will recode the source video into a suitable MPEG format and then convert those MPEG files into a burnable DVD format. There are loads of apps that will do the job - the best and simplest I have found at a reasonable price is
TMPGEnc DVDAuthor which allows most video file formats to be automatically converted to DVD compliant formats and then the whole lot can be burned to a compliant DVD video. This app will also produce DivX format DVDs as well as conventional DVDs.
If his portable player will play DivX DVDs (check the manual) then he could use the version supplied on the
DixX.com website which is a cut down version of the full app to produce just DivX DVDs and it is much cheaper. I haven't used this myself but from the screen shots it looks like it is the same app as the TMPGEnc product just tailored to DivX only format.
Neither app is free but the results are consistently good for both and are very simple to use.