Following the list of supported data types in Google Health Connect's official documentation, I don't see that audiogram data is currently listed among the supported data types.
The available data types include measurements like heart rate, blood pressure, blood glucose, body temperature, and various fitness metrics on Android, but there is no specific support for audiogram data.
It differs from Apple Health, which, as you noted, does support audiogram data, allowing users to track hearing test results and import audiograms.