Yes and no, Basically he whooped Goku's ass even after him going SSGSS, but then Vegeta showed up and went into that form, by then Frieza was exhausted from his fight against Goku so he just went to town on him.

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I'm mostly surprised that Vegeta didn't wait for Frieza to recover and THEN tried to fight him. I mean, we are talking about the same retard who let Cell reach final form just for the trill of the fight, which almost led to everyone getting killed by him.