Your second point is interesting. I suspect the contract between hiQ and some company is that hiQ provides info on public profiles, and if LinkedIn removes all

Your second point is interesting. I suspect the contract between hiQ and some company is that hiQ provides info on public profiles, and if LinkedIn removes all public profiles by requiring a login the contract would become moot. Just the same if I was to change my profile settings from public to private, hiQ wouldn't be in breach of their contract (nor would I).