I ended up deciding that I was getting no value from the account, and I heard unpleasant things about the company, so I deleted the account.
Within hours I started to get spam to that unique email address.
It would be interesting to run a semi-controlled experiment to test whether this was a fluke, or if they leaked, sold, or otherwise lost control of my data. But absolutely I will not trust them with anything I want to keep private.
I do not trust LinkedIn to keep my data secure ... I believe they sold it.