I personally believe that, "Yes, we should have the right, no the means, to be 'forgotten'/'vanish' from the World Wide Network".
That said, given the number of bots roaming around the internet collecting data, how possible is that? I can think of a few methods that one might employ, and some extensions to common protocols that might better facilitate, the removal of your "presence" from the internet. However, the sure volume of data, and number of times it is cached, or mirrored every day, the potential for open standards, and the ability to create one's own personal networks, offline media such as CDs, USB Keys, Hard Drives, Floppies (Yes Some Still Use Them), Tapes, etc. Make the removal of data from this vast expanse of bits virtually impossibe
To the historical question, what of historical importance, is there about my self? True that I am a male person, who lived in the united states between the year I was born and now. That data is available through public records, and I have been counted in the census. Data that is truly important, will find it's way into a book or file somewhere (the electronic kind or otherwise). That coupled with the copious misrepresented and erroneous data on the World Wide Network, makes the larger percentage of the datum fairly ambiguous and of little use. The are obvious, concerted, efforts to maintain repositories of useful , accurate, data, historical or otherwise. However, the open and diverse nature of the users of said network make those efforts difficult.
Just my two cents.