Thank you for specifying ChatGPT-4. So many commenters on the web say they used GPT4 without specifying if they're using the ChatGPT version. ChatGPT-4 is specifically aligned for answering questions better than the base GPT4 model.
It makes sense to call the foundation model GPT-4, like for the previous GPT versions. The fine-tunings are not where its core capabilities come from. Bing is also "a" GPT-4, just with different fine-tuning.