I expect upping this number would have a positive effect on asyncio numbers because the only thing[3] this[4] is[5] measuring[6] is how many database connections you have, and is about as far from a realistic workload as you can get.
Change your app to make 3 parallel requests to httpbin, collect the responses and insert them into the database. That's an actually realistic asyncio workload rather than a single DB query on a very contested pool. I'd be very interested to see how sync frameworks fare with that.
1. https://github.com/calpaterson/python-web-perf/blob/master/a...
2. https://github.com/calpaterson/python-web-perf/blob/master/s...
3. https://github.com/calpaterson/python-web-perf/blob/master/a...
4. https://github.com/calpaterson/python-web-perf/blob/master/a...
5. https://github.com/calpaterson/python-web-perf/blob/master/a...
6. https://github.com/calpaterson/python-web-perf/blob/master/a...