Others standing in line asked coordinators walking the line, "Am I eligible here?" and the coordinators responded, without hesitation, "Yes, you're in the right place! Stay in line." No questions asked.
The vaccination site may well have been "intended" for West Oakland residents and/or underprivileged folks, but if that's right, they could have at least put up a sign saying so, and maybe the coordinator(s) could have said "this vaccine is intended for West Oakland residents only."
I think there's an argument to be made that everyone in line who didn't live in West Oakland should have just assumed that the vaccine wasn't intended for them, but I strongly believe that the ethics of the situation are "If you're offered a vaccine, take it." https://www.nytimes.com/2021/01/21/opinion/covid-vaccine-eth... It's not just for you; it's for everyone around you, especially children and others who can't be vaccinated.