In my experience (~10 companies, including bigger tech and silicon valley companies) the bigger the size the lower (if not zero) the awareness. In smaller companies and startup I've seen much more "empathy" and we used to give one-shot or recurrent sponsorship especially to projects that we were using extensively. This could also be a partial answer though, bigger companies don't really care as they could afford (or perceive so at the higher level in the ladder) to just move away or fork the project and maintain it themselves, thing that I've also seen applied in a famous telecommunication API company (guess who).