Paul the Egalitarian?

Was Paul a fully-fledged egalitarian?

Well, according to many, at the end of Galatians 3, Paul produced a virtual manifesto of Christian equality:

26 So in Christ Jesus you are all children of God through faith, 27 for all of you who were baptized into Christ have clothed yourselves with Christ. 28 There is neither Jew nor Gentile, neither slave nor free…