That's a possibility, but that appointment method exists solely for what are called administrative oversight agencies, such as the Auditor General, the Chief Electoral Officer, the Privacy Commissioner and so on.
Independence is granted at that level, which makes it possible to get the most competent people possible. Will that really solve the problem of appointing officials or do we want to have people who will nevertheless be appointed by cabinet for a term that will be renewable? These are options, but in fact, the problem—