Worker crashes on more than 6 simultaneous connections

According to the docs, it should be possible to queue up as many fetch requests as I want, but my worker consistently crashes when a 7th fetch request is made.

Once a Worker has six connections open, it can still attempt to open additional connections. However, these attempts are put in a pending queue — the connections will not be initiated until one of the currently open connections has closed.

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What am I doing wrong here?