The “public” in public key just means it doesn’t need to be secret, for cryptographic purposes. It’s different to your public identity as a person — I don’t think I’ve ever seen an ssh key used for that, in practice.

I might have multiple ssh key pairs related to my different roles as: high school teacher, two different GitHub users, peer to peer pharmaceuticals distributor, and upstanding private citizen.

I cannot see a scenario where prospective employers would want to connect these identities.