I think a great many countries have problems with healthcare. I think if you went hunting for anecdotes of healthcare failures you'd be rich in examples in a lot of countries. That said, I think in the UK it's a result of inefficiency and chronic underfunding for, at this point, decades.

I've lived in both the UK and the US and there are issues with healthcare in both. Maybe the model your country uses could scale up to populations the size of the UK and the US, maybe it wouldn't. Difficult to know.