Yes. Judicial remedies are of course central to the right to an effective remedy, but as I think you've mentioned, and as I've said before, too, they aren't sufficient because not every set of facts can be a tort claim. Harm that is caused will not be necessarily remedied through the courts.
Plus, there are all the other barriers. It's very difficult to bring a claim because many companies can bring a lot of motions to try to have the claim dismissed before it gets to the merits.
Having a CORE allows for investigation of complaints that would not be brought to the courts. We get a public document that comes to a conclusion about what happened and, if it had the powers, the CORE would be a good remedy alongside the courts, which are not sufficient in this situation.