Krillin isn't shown to be worn out after controlling multiple discs while Frieza's death beam cage takes nearly all his power(and Krillin's attack is more complicated), I have a hard time buying that attack alone would be such a toll on Frieza, but with the established toll the golden form takes it makes more sense.
But you know what, that doesn't even matter, the whole sequence was the only time in the ToP where Frieza's overconfidence in himself has consequences instead of the writers repeatedly trying to tell us "no he's just that good, and always was". Whether it's because of the death beam cage or his tacky golden form, it was a brief moment where Frieza didn't feel like a caricature of himself in Super.