I once had a similar experience in another city. It wasn't London, but we ended up in the wrong place, and what stayed with me was the effort that went into explaining why this was actually quite a good place to be. For this comic, I moved the situation to Abbey Road DLR station, which is nowhere near the famous Beatles crossing. It seemed a suitable place for someone determined to explain why the journey had been a success.
The mistake itself didn't seem particularly strange. The determination to justify it did. I've sometimes wondered how much of that is cultural: admitting an error can seem perfectly ordinary to one person and almost unthinkable to another. But I'm never sure a country explains very much. You can find both attitudes in two people standing next to each other. Sometimes it's simply a matter of character — and how long someone is willing to stand in the wrong place defending it.

Comic transcript
Panel 1. Ben and Alex stand beneath the Abbey Road DLR sign. Ben gestures towards it.
Ben: “Abbey Road. Here we are.”
Panel 2. Alex checks his phone.
Alex: “The Beatles crossing is on the other side of London.”
Panel 3. Ben gestures towards the quiet platform.
Ben: “It's less commercial here.”
Alex: “It's a station.”
Panel 4. Both sit on a bench. Alex looks at his phone.
Ben: “And somewhere to sit.”