Waiting a few weeks for a GP appointment is normal everywhere. And it was far better in London before Brexit. The significant factor actually being the defunding of NHS that has happened over the past decade.

My non-emergency care in London is still excellent. It was better ten years ago.

Yes I'd like to get an appointment within a few days but even with my excellent private insurance outside of the UK it's a few weeks wait. GPs aren't sitting around waiting for customers anywhere in the world.