That's not what "stochastic" means. You might want to look that up before you keep (mis)using it in conversations about actual stochastic processes.
The term 'stochastic' refers to characteristics or properties that are measured and/or understood on a statistical basis rather than on an individual basis, because they are driven or biased by random processes. What's your understanding of the term, if you're not working from a widely-accepted definition?
Two people interpreting a specification in different ways isn't stochastic because human processing is not a statistical process in any meaningful way. Or, to put it another way: given a specification, you could not reasonably enumerate all the ways two humans might interpret it, much less assign statistical likelihood to those outputs.