@bryonyoungblood what? No he didn’t.
Even if Sesshomaru was once jealous, after his character development completed, he grew to respect his younger brother. He didn’t resent his brother’s status as a half human anymore.
That’s the whole point of his character arc when he came to care for Rin as a companion and like a daughter, as well as his respect he gained for Kohaku, and even respect he gained for Inuyasha’s human friends. To learn compassion as well as letting go of his bigotry.
The whole point of his arc was to stop being so arrogant and racist towards those he once deemed lesser than him.
True he won’t admit he respects his little brother out loud, but it’s clear by the final arc he had long stopped hating his brother and truly grew to respect him. That’s why he let go of his jealousy and helped him in the final battle against Naraku.