[teraflop]

The whole point of the GIL is that even if you use Python's threading or asyncio, you don't get any benefits from scaling beyond a single CPU core, because all of your threads (or coroutines) are competing for a single lock. They run "concurrently", but not actually in parallel. The pages you linked explain this in more detail.

In theory, multiprocessing could allow you to distribute the workload, but in a situation like OP describes -- just serving API requests based on a data structure -- the overhead of dispatching requests would likely be bigger than the cost of just handling the request in the first place. And your main server process is still a bottleneck for actually parsing the incoming requests and sending responses. So you're unlikely to see a significant benefit.