What kind of social problems are people seeing GPs about, that they otherwise wouldn’t?

The example usually given is the other way round, that the woeful provision of care by the NHS leads to other public services (notably the police) becoming the backstop, e.g. for those with mental health issues.

Cuts and refactoring of Universal Credit is an obvious one.

Recently PIP payments were delayed.

Cuts to services for young people. Worsening mental health until crisis point.

Cuts to care services, leading to old people ending up in hosptial care.

All these failings compound to resulting in a medical need.

Your example of the police is where it becomes circular, as the emmergency services become the provision for other cut services.

Controversial opinion: Social care services are a way to paper over cultural and societal issues that will inevitably out-grow the funding used to do so.

We're about to discover the true depth of our societal issues, now that we've run out of wallpaper.

Current approaches to social care services are designed to paper over symptoms rather than tackle the cause. But again, that is due to poor govermental policy.

It's all top-down