[twic]

No. If you took the current UK constitution and wrote it all down on one piece of paper, we would be in exactly the same situation.

The important thing about a constitution is that it is well-designed, not that it is written down.

[L0stRegulator]

The issue is that if it was written down it would be well defined. There would be legal cases for clarification rather than loosely defined precedents. It's too fluffy and malleable, which can work well in good times, and very badly under oppressive regimes.