Unfortunately, it's very difficult to bring cases to the courts. I've participated in a number as an intervenor. Only a very few cases get to the courts. You have to actually be able to fit the harm into a particular cause of action. You have to have resources. You have to have a lawyer and all of that. It's expensive, it's complex and it takes a long time.
I don't think it's an alternative to a CORE that has proper powers, but it is a complement. Judicial remedies are at the centre of the right to an effective remedy, but they also require non-judicial remedies, like the CORE with appropriate powers, to engage in proper and credible investigations of violations of human rights.