I really enjoyed this thread from a recent (two weeks ago) post about another advance in the treatment of cavities (a year before) that touched on this feeling.
That discussion got me on a search spree. Apparently others have picked up on the root-analogue implant idea and it is now available in the Netherlands, maybe soon in the USA: http://www.replicatetooth.com/for-patients
This one is still made of titanium though, the Zirconia ones by BioImplant seem to make more sense.
Anyway, not a cure but at least you don't need someone drilling into your head when cavities win a match.
There are some major issues with the Replicate system: a paucity of actual cases (I also can't see any long term follow-ups); and the fact that the actual implant is a dark grey - this unpleasant discoloration will show through gums.
BioImplant has a long history, with comprehensive case histories and follow-ups readily viewable on the website. This is very important for medical credibility. (I worked with the creator of BioImplant.)
On the other hand, Replicate Tooth has a very nice website!
https://news.ycombinator.com/item?id=13274183