There is a belief among some behavioral scientists that consumers are categorically more likely to react to a friendly and soft reminder like the LinkedIn message as compared to the harsh 'SECURITY ALERT' emails that banks often use. Also, the harsh email approach has been picked up as a common phishing method, which might make them over time less likely to respond.

If I composed this email to customers who may have had their account info hacked, I would have phrased the email very similar to the above but also included a line reading something similar to 'Why are we sending you this email?' that included either in the email or via link a plain-language explanation of the issue.