‘And Esau ran to meet him and embraced him, and fell on his neck and kissed him, and they wept.'
Esau had dismounted which must have been a great relief to Jacob. Esau is clearly genuinely pleased to see his brother and feels very emotionally about it. But we cannot doubt that Jacob's tears had within them something of relief.
Esau's pleasure appears to be real. He has long forgotten any falling out and is happy to see his brother. He runs to embrace him. He is quite satisfied with his life as it is and holds no grudges. This is one of the many things in Esau we must admire. Yet the fact that he cares so little about what he has lost demonstrates how little the covenant promises meant to him. He would not really have been suitable to carry on the succession.