Ironically, the root cause that made me think of that example was AWS.
The example was where each SQS call (there could be as many as five) was taking between 50ms-200ms, and logging took another 75ms. The rest of the request processing time was approx 50ms.
There's a bunch of other architecture options we could have looked at, but due to the share-nothing nature of PHP, they weren't an option.