I ll tell you what's the advantage of full erase over quick erase.
It makes rich recordable media companies richer.
I don't know (or care) how full erase should work in ideal conditions.
In real life conditions, even with new and not so many times used drives, with branded disks like Philips and sony, the result of full erase is always to ruin your disc.
For example, I had a Nec 2510A (new at the time I did the following). I put in a Sony CD-RW and full erased it. It died from the first recording. Then, I put in another Sony CD-RW, same brand, same lot, cos I had bought them the same day, same time, from the same store (I bought 3, to be pricise, all of them the same). These last two, since I always quick erase them, they still serve me till nowadays. It was a matter of erase mode.
Now, I just ruined in my laptops drive a Philips DVD+RW, just because DVD decrypter started full erasing without asking. Once I try tomorrow with the same disk with a quick erase, I know I won't be surpised by the result. And I know I ll keep the disc I ll buy tommorow for another 5 years
So, never full erase, always quick erase.