Again... no, it wasn't.
Vegeta rarely got a chance to fight, but he did a lot of fighting in the first match.
Frieza this time only fought Goku and Vegeta not the whole Z fighters.
He had a new form, as did Goku and Vegeta actually ascended.
It started off with Goku winning instead of them being even. Then progressed to Frieza gaining the upper hand and keeping it until his power wore off. In the original Frieza was fighting a losing battle soon as he went Super Saiyan.
Then, the ending was totally different. He defeated him with Kamehameha the first time but there was a twist this time and killed him. Thats development.