What's PC about Their? I'm guessing it's because the gender of the officer is not named?
The usage of the plural "their" in lieu of the singular his/her is well attested (see below), but one suspects the motive in the original article is not one of mere euphony, but probably that of diluting individual responsibility rhetorically into the broader collective (that, or, as you suggest, to mask a sex specific pronoun).
From:
https://www.merriam-webster.com/dictionary/their
They, their, them, themselves: English lacks a common-gender third person singular pronoun that can be used to refer to indefinite pronouns (such as
everyone, anyone, someone). Writers and speakers have supplied this lack by using the plural pronouns. and every one to rest
themselves betake — William Shakespeare I would have everybody marry if
they can do it properly — Jane Austen it is too hideous for anyone in
their senses to buy — W. H. Auden The plural pronouns have also been put to use as pronouns of indefinite number to refer to singular nouns that stand for many persons. 'tis meet that some more audience than a mother, since nature makes
them partial, should o'erhear the speech — William Shakespeare a person can't help
their birth — W. M. Thackeray no man goes to battle to be killed. — But
they do get killed — G. B. Shaw The use of
they, their, them, and
themselves as pronouns of indefinite gender and indefinite number is well established in speech and writing, even in literary and formal contexts. This gives you the option of using the plural pronouns where you think they sound best, and of using the singular pronouns (such as
he, she, he or she, and their inflected forms) where you think they sound best.