Use of the beta function is an attractive idea, but is it vulnerable to identification of just one individual?

For example, suppose you have a pseudonymized table containing age and duration of employment for 10,000 individuals working in a company. One of them puts the following on his Facebook page:

"Today is my birthday! At 73, I am the oldest (and longest employed) member of the company!"

It wouldn't take much work to find this record in the table, then "reverse engineer" the beta function algorithm.