Should agile user stories follow the Single Responsibility Principle?

A few years ago, I was chatting with a senior developer about Robert C. ‘Uncle Bob’ Martin and the Single Responsibility Principle (SRP). It struck me that the principle might not just apply to software design, but could also be a useful way to think about writing agile user stories.

So I’ve been sitting with the question: should user stories follow the Single Responsibility Principle too?