Legal advice privilege applies to advice given by members of the legal profession acting in that capacity. As no practising certificate is held, advice from Joyee Praxis Advisory should not be assumed to attract legal advice privilege. Litigation privilege is a separate protection, and may still apply where the dominant purpose of a communication is actual or contemplated proceedings, including employment tribunal claims.
In practice this matters less often than it first sounds. Much of what we do — building the process, drafting the documents, getting the records right — produces material that would be disclosable in any event, whoever advised on it. Where privilege is genuinely material to a decision you are taking, we will tell you and refer you to a regulated firm.
Confidentiality is a separate thing, and it is unaffected. It is a contractual duty owed to you under the client agreement, and it applies whether or not privilege does.