The deepfakes and stolen PII discussed in the article are for identity theft: The candidate steals the identity of someone with an impressive LinkedIn background and then presumably hopes that the company takes their background at face value and doesn't ask too many hard questions in the interview. The company then completes reference and background checks on the victim. They might also use this identity theft to qualify for jobs that aren't available in their location due to contractual and/or legal restrictions.

The "overemployed" people generally aren't performing identity theft like this. Having multiple jobs ranges anywhere from legal to fraud depending on contracts they've signed or how they've misrepresented themselves (it's not uncommon to see suggestions to take multiple hourly jobs and then exaggerate the number of hours worked, for example). However, adding identity theft on top would elevate what they're doing to a major crime, which is not something that would help them.