To be honest, I never liked the way async is done in python at all.
However, I love Django and Python in general. When I need "async" in a http cycle flow, I use celery and run it in background.
If client side needs to be updated about the state of the background task, the best is to send the data to a websocket channel known to the client side. Either it's Chat response with LLM or importing a huge CSV file.
Simple rule for me is, "don't waste HTTP time, process quick and return quick".