Like a dash cam, they can save the footage only if there is a problem. Surely that would be much better than splicing together many third party camera recordings.
The NTSB (and many of their non-US counterparts) are incredibly adept at accident investigation using debris, black boxes and CVRs. Even in cases where the black boxes are damaged and video evidence is available, the video evidence is usually not so helpful as to be able to determine a root cause.
If you take into account that the cameras would be mostly useless in low-light or poor visibility conditions, and the costs associated with maintaining a nationwide network of high-res cameras that cover all runways at all major commercial airports (and ensures their lines of sight and operation through the never-ending renovations going on at these airports), I'm not sure that the benefits of having the cameras make sense.