Issue with the sound in Safari with Headsets when recording the audio

I have a macOS 12 and Safari 15. When I record the audio it sounds very strange. It plays very fast and sounds like a chipmunk. When I record it with the default embedded mic on MacBook it works, but my voice is a bit rough, so also doesn't sound as it is, but at least I can hear and understand what I have recorded.

I can reproduce this issue on the example page: https://www.webrtc-experiment.com/RecordRTC/simple-demos/audio-recording.html

Equipment: MacBook Pro M1 & Bluetooth Headsets OS: macOS Monterey 12.0.1 Browser: Safari 15.1