I do not see what that description shows.
From the OAI API, gpt-4 seems to be an alias for the most recent model two weeks after it is released. There has not been a release since 0613.
https://platform.openai.com/docs/models/gpt-4
e: from your edit,
"Note the context size is 4095. Their model has been heavily optimized for speed and, presumably, cost."
No, they are restricting context size to make inference on the chat interface cheaper but that does not mean it is a different model.