DNA testing is an extremely powerful tool- not only for the enforcement of laws but for the profiling of traits. I would be extremely nervous to have a private entity "hold" a typed sample and am therefore against the practice. Private bodies (such as WADA or the UCI) don't have sovereignty over themselves and can be forced by various sovereign nations (many with poor protections for people) to hand over the data for nefarious purposes. Just because we mostly live in fairly stable and fair countries doesn't mean the world is that way.
Think of what a boon cloning Vino would be to the economy of various poor country X.
There are other reasons that such a database should not be made that certainly outweigh the importance of cycling in the grand scheme of things.