The mere fact that you're creating a timeline or progression of events untied to that of OTL means that random chance will begin acting almost immediately once the POD is set, regardless of physical proximity to the site of the first "difference" in the timeline. If I relived my day (Monday, 2 April 2012) three times starting from the moment I woke up (I would simply be rewinding back to the same starting point and hitting play at that point in time), I would end up with three inevitably differing progression of events, even if there is no noticeably different POD . Human behavior, like many things, is extremely fickle, varying greatly regardless of identical external conditions, and human interaction inherently drives human history.
The problem is that there's no reason why you'd be more or less likely to do any given action than you were TTL. So you might "repeat" your actions in one or even all three of those.
Will you do exactly the same thing in every single one of a hundred timelines? No.
Also, whether you typo Monday or not is unlikely to make a difference.