In general, I don't think people should have a moral right to decide
where and
how the data that they made public is used, or to decide if it can get scraped or not.
And, in general, I take the fact that you published something on the Internet as a tacit moral consentment for the rest of the world to use it how they want.
This comes with a couple of big asterisks, because (1) Copyright law exists, and I generally try to not break the law, even if I don't agree with it. But the discussion in this thread is mostly separate from copyright: for instance, I don't think a court would see someone scraping and redistributing data from someone's LinkedIn profile as a copyright infringement case.
And (2) because I think that in some specific cases, using published data can be morally wrong, but not as a general rule.