That's an easy way to accidentally leave a xact open way too long. You might have enough connections in to support this normally, but when things go slightly wrong, they go very wrong.
+1 to this - I've griped pretty often that FastAPI's documentation implicitly recommends this (https://fastapi.tiangolo.com/tutorial/sql-databases/#create-...) by suggesting using dependency injection to manage database connections, only to start seeing connection pool exhausted errors as soon as the number of concurrent requests exceeds the number of allowed connections.
Every RDBMS out there has an option to configure a DB-enforced transaction timeout. But that configuration is tied to a connection, not to a transaction. So using that configuration means giving up connection pooling. Which a lot of people don't want to do because it impacts latency and DB resource usage.