I'm sorry, but you haven't provided any specific headlines for me to analyze. The Supreme Court has addressed the principle of equality in various ways throughout history, and the impact of their decisions can vary depending on the specific case and context.
In general, the Supreme Court has had a significant role in interpreting and shaping the meaning of equality in the United States. Some landmark cases, such as Brown v. Board of Education and Loving v. Virginia, have advanced the cause of equality by striking down segregation and anti-miscegenation laws. On the other hand, other cases, such as Citizen's United v. Federal Election Commission, have been criticized for potentially undermining equality by allowing for unlimited corporate spending in elections.
Without specific headlines to analyze, it is difficult to determine how the Supreme Court has addressed the principle of equality in a broader sense.