While in the public service you never get away from who your ultimate employer is.
As I said at the start, we have an Australian system that works pretty well. The parliamentarians have a part of that process through the government of the day, and it's the parliamentarians who form the government of the day, normally the majority in the lower house, the House of Representatives, or House of Commons in your terms. So to that extent, they are involved in the process.
What sort of formulation you want to use in a technical sense to either appoint or remove an ombudsman is a matter for you. That's all I'd want to say.