I've been doing the same. Apart from sometimes changing the meaning of sentences, it does a pretty good job at improving the message one is trying to convey.

In my case I'm recording notes while exercising on my bike, so there's wind and friction and breathing, then I transcribe them with Whisper, do try to filter out things that don't make much sense (where the temperature, compression_ratio, avg_logprob and/or no_speech_prob are not acceptabe).

Since I start recording at will and don't prepare the sentence to be recorded, the recording is a bit chaotic, and ChatGPT does a good job in correcting Whisper's mistakes and transforming the sentences.

But, as I said, sometimes this fails and the real message gets lost.