We didn't really implement "views" to be an absolute metric about the usage of an item. Rather, views are useful to help sort a set of search results to see what is most popular or most used. It helps to bubble things to the top of the list.
Thus, if someone expresses interest in an item by viewing the details of it, we count that as a view. If that person goes one step further and actually opens the item, that's another view. Now, in looking at your counts, it does seem like there may be an extra increment of the counter. However, I do recall that when we implemented this, we discussed that it was a more significant "viewing" of the item if someone actually opened the item (not just viewed it's metadata). Thus, we may be adding an extra view to the counter. Without looking in depth at the code, I can't tell you for sure. (In the case of map service items that are referenced in web maps, their view count increments whenever the map is opened too.)
The bottom line is that you shouldn't consider "views" as an absolute measurement of the number of times your map has been opened.
thanks,
Mike