Do Toothbrush Sanitizers work?

"The claim: There are “millions” of potentially harmful bacteria (including, perhaps, scary ones such as salmonella and E. coli) living and breeding on the bristles of our wet toothbrushes between uses. And, according to these claims, we’re sticking those germs not only into our mouths the next time we brush, but potentially into our bloodstream should we abrade our gums with the bristles."