Throughout the episodes, there are several scenes that play out in a similar fashion:
Static is heard and a diary's contents are updated to reflect the updated future.
Person 1: "Did you hear that?"
Person 2: "There must be another diary user nearby"
But sometimes the things that alter the future are incredibly trivial, (like travelling to a different floor on the elevator, or not eating a salad) and theoretically anyone should be able to do them. The main reason the diary users change the future more often is because they can see certain events in advance and consciously decide to change them, but other than that, they are visibly no different from the rest of the population.
Everyone seems to have free will, and so everyone should be able to make a spontaneous decision and affect the timeline. For example, Yuki altering the future by opening the door at Yuno's house was down to his curiosity alone and not related to his diary, so surely a non-user would have altered the timeline in that same scenario.
Granted, for a diary to display the altered future, it has to correspond with that diary's output (e.g. something in close proximity to Yuki, something affecting an escape for Ninth), but that alone doesn't isolate changes to only other diary users.
So why are the diary users so confident in proclaiming the proximity of another diary user when the future changes? Why couldn't it just be a regular person altering their schedule, coincidentally coinciding with the user? And doesn't Akise change the future (as a non-user) in chapter 14 during the coin game?
Example 1
Chapter 11 page 27
Example 2
Chapter 14 page 33