What does Genesis 33:4 mean?

After much fear, stress, and worry, the tension is finally broken. Jacob's plans to this point have all been arranged at cooling Esau's murderous rage (Genesis 27:41–45; 32:13–15) and minimizing the damage which might occur if he is still bent on revenge (Genesis 32:7–8; 33:1–3). Instead of drawing a sword, Esau runs to meet Jacob, hugging and kissing him. Both of them weep. The brothers are reunited, and there will be peace.

Jacob's worst fears about Esau have come to nothing. God has protected and provided for him, once more. That will not keep the reunion from becoming awkward, however, likely due to Jacob's continued insistence on displaying himself as a groveling servant. In truth, Jacob possesses both a birthright (Genesis 25:29–34) and their father's blessing (Genesis 27:28–29), in accordance with God's own prophecy (Genesis 25:23). His behavior here might be an expression of sincere regret or apology. Or, Jacob being Jacob, it might be a purely put-on display from someone still nervous about his brother's anger.