Federated means democratic. We‘re on lemmy because free association. Its obvious that all other social media, including work related, should be federated, in fact it should be outlawed to have anything public-non-federated. We need to destroy all walled gardens.
On the other topic of personal data: the critical data like real name, home address, phone number, email address, former employers etc. should absolutely not be federated, thats a need to know basis.
The public profiles are the same as mastodon and don’t constitute personal data in my book: your skills, the industries and length of employment.
The important part is that you can put your personal data on an instance (which might or might not be your own) and encrypt it so nobody except you can read it and if you get an offer, the future employer gets an encypted view of your data which could also be on auto delete if the job falls through.