Is it time to start calling out bad cyclists?

No, you are still wrong.

The central refuge is irrelevant in the context of the question asked.

The question was

The law states that you must give way to the pedestrian on that crossing.

It does not state that you may not go over the crossing, which I inferred your answer "If there isn't [a central refuge] then you can't." is in response to.

Which is demonstrably wrong.

I'm more than happy for you to demonstrate which piece of legislation state otherwise though.

If you read my original response I said that you have to stop at a crossing unless it has a refuge or island on it.

Now go and boil your head.