OpenAI is used for two companies under one umbrella - OpenAI a non-profit and OpenAI a for profit companies. Basically OpenAI non-profit does research and published it publicly, then OpenAI for profit adds bells and whistles and sells it to recoup costs.
irrelevant. We're talking about open in the sense of open-source not open-research, and even then, it's still not relevant because were talking about the processes, not the product.
The post's question was why do these companies use 'open' in their names. So, we aren't actually talking about open in the case of open-source. We're actually talking about why the companies have 'open' in their names.