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Not wanting to get stuck on semantics, but you characterised the NHS as
inefficient public services
A couple of anecdotes saying their are areas for efficiency improvements isn't quite the same. As others have pointing out compared to others our health system is more efficient.
Given the amount of spend of staff and their feed-in back into the economy, I'd say there's also an argument that any staff cuts you could make would have limited net savings.
So, efficiency improvements :)