Did you NOT mean that Eve's equality with Adam is important even though Christ did not think equality with God was something to be grasped?
Jesus' concern wasn't to aspire for and obtain God's authority, but many 'authoritative' people marveled that He spoke with authority. If Peter's answer didn't bolster Him in any degree when He asked, "who do you say that I am?" nor would any other answer have discouraged Him of Who He Is.