Yes it does seem within reach. Even just the base-en whisper modal with 74M params performs remarkably well on transcription (the large model has 1550M params!).
Compare a base-en whisper transcription to a human transcription. This is the A Powerful Theory of Why the Far Right Is Thriving Across the Globe latest episode of the Ezra Klein Show, transcribed just now:
1. [whisper] https://modal-labs-whisper-pod-transcriber-fastapi-app.modal...
2. [human] https://www.nytimes.com/2022/11/01/opinion/ezra-klein-podcas...
(You can use the same app to transcribe other episodes on-demand and see the base-en model's quality)