The fact that we are even having this discussion means that integrated transport is not properly understood. This is pretty basic stuff and the fact that we are wasting time with this argument is the main reason why British transport is the way it is. There is genuine ignorance and I doubt it will ever change.
Just two, very basic, things to begin with.
1. When you make a single journey by bus in the UK and Ireland, you usually have to pay more than if you change buses than if you travelled the exact route on a through bus. Indeed, if you change buses in the UK it is not even considered to be a single trip!
2. Eclipse doesn't really stop at Fareham railway station. It only stops on the road nearby. You even have to go through an uninviting subway to get from the station to the bus stop. The fact that this is advertised as a good rail connection shows the how embarrassing the British situation is. Where integrated transport really exists, the buses stop right outside the rail station, not across the road.