Unfortunately, it's likely that in many cases the anonymity won't be preserved simply due to the probability of multiple candidates having the exact same job experience.

Take the example profile (which doesn't appear to belong to an actual person). We can create a google search that is something like the following:

site:linkedin.com AND intitle:" | Linkedin" AND intext:"Data Engineer" AND intext:"Distributed Systems Engineer" AND intext:"Software Engineer in Azure"

And, if it belonged to an actual person, would likely show up in the results. If there are multiple candidates with these titles, you can add more conditions, such as the employers to narrow it down.