Tooth enamel is essentially a matrix that is hardened by mineralization. Caries initially demineralize the enamel, but as they progress they destroy the enamel as well. Once that enamel is gone, there is nothing left to mineralize. You can throw as much calcium, phosphate, electricity, etc at it and you won’t end up with any more enamel. The decay has to be removed and filled with something.
This proposed treatment only works for the very initial stages of demineralization, which are referred to as white spot lesions, since demineralization causes the enamel to become opaque. The current conservative treatment for white spot lesions is to be judicious with cleaning and possibly apply some additional fluoride, as the tooth simply needs to be remineralized. The researchers are claiming to be able to accelerate that remineralization, which is great, but is very, very far from saying that patients won't need fillings.
Source: I’m a 2nd year dental student.
Edit: formatting