It depends on the nature of the hearing loss, for example, FX-322 and OTO-6XX appear to work by triggering regeneration of hair cells, while OTO-413 appears to work by triggering regeneration of synaptic connections (both of which are probably egregious oversimplifications because I am a security nerd, not a medical researcher :P)
In theory i believe if regeneration of cells is involved it should work with congenital but i guess there might be other complexities that might be involved (not a medical professional).