10ms minimum to go to the next rack. For 99% of the requests. For the unlucky 1% you'll get outlier performance due to.... well... you spend the next sprint figuring it out and the next quarter trying to solve that scaling bottleneck.... It could be network, it could be some weird design thing, it could be redis, who knows? But yeah... enjoy figuring it out instead of focusing on your product.
1% of all requests is actually a lot of requests. And if you think 1% of your auth requests aren't 10x the median... you aren't measuring it hard enough.
The signals going through the wire and back are 2000ns in a big datacenter. There are orders of magnitude more delays in the processing of those bits than their transmission through space via twisted pair or fiber.
It's not 10ms to go to the next rack though unless your network is broken. You're much closer to 100us (100,000ns).
This is a very common pattern in networking, people underestimate the speed of light and overestimate the speed of network equipment.