For one, you said nothing of his arrogance. He taunts Squall in the beginning and he taunts through out the game. He is so fuck'n full of himself its sick. Even Kuja knew when arrogance was placed at the right time. Seifer just can't help it. Its like Edea or I guess Ultamecia says "he's just a scared little boy"
He has so many issues. Its really quite sad For one self-doubt in an extreme case. He can't convince himself that he's the shit so he keeps repeating it only to get "the shit" knocked out of him.
Your not mentioning Seymour at all. His is extremely cautious. Seifer would taunt him and since there would be no reaction from Seymour, Seifer wouldn't like that. His own inner rage would consume him and the blood would rush to his brain making him incapable of thinking properly under pressure. That's what makes him such a bad warrior.