Large corporations tend to stay away from independent projects altogether. For example, my project has several thousands of stars on GitHub and gets tens of thousands of downloads. I've interacted with well known startups on many occasions but I've only once interacted with someone from a very large and well known corporation which was using my project and it was quite strange because when I asked if I could mention the company on my customers page, they told me that they have a policy against using their name as an endorsement... Yet when I look at other 'mainstream/corporate' OSS projects, their website is covered with big brand names.
I think that the problem is both that big corporations are less likely to use independent projects and also that if they do use them (out of desperate necessity), they don't want to admit it unless they know that other corporations are also using it.