The concept of “completely randomizing” something isn’t really well-defined, it’s more of a casual phrase that people use without thinking about it. If you have

The concept of “completely randomizing” something isn’t really well-defined, it’s more of a casual phrase that people use without thinking about it. If you have a constant timeout with random jitter added to it, you’ve randomized it. It is now random. If you think about it, a “perfectly random” die roll on an ordinary die will never be 0. So, whether a value is random has no relationship with whether that value can be 0.