[phyzome]

"What if it just means" -- I mean, we don't have to ask "what if". We can look at the original press release:

https://openai.com/blog/introducing-openai

« We’re hoping to grow OpenAI into such an institution. As a non-profit, our aim is to build value for everyone rather than shareholders. Researchers will be strongly encouraged to publish their work, whether as papers, blog posts, or code, and our patents (if any) will be shared with the world. We’ll freely collaborate with others across many institutions and expect to work with companies to research and deploy new technologies. »

They never give an explicit explanation for their name, but it's pretty obvious.