Sigh. How does one come to equate not stressing out too much about an AP-only style point with not caring about getting facts correct? That's like saying I don't care if I hit a pedestrian because I don't stress if I accidentally stepped on an ant. To me, the "over vs. more than" thing is the equivalent of not using a comma in front of "and" in a series. The AP rule says don't use a comma, while basically all other styles of writing says use one. You want facts? I gave you one in my original post: The use of "over" and "more than" is considered interchangeable by the official reference book that most of the world uses (a dictionary). The rest of the world doesn't operate on journalists' rules. Deal with it. Add the common-sense logic that says no one would mistake what is meant by "over 200 people showed up", and the consequences of missing one instance of "over" is miniscule.
AP has its own style rule about it? No problem. And if you read my original post, I said that I still change "over" to "more than" when AP style applies, but my head doesn't go spinning if I see that I missed one or I see "over 500" in nonjournalists' writing. As long as the meaning is clear, you think readers would stop and ask, "Why did they use 'over' instead of 'more than'?" They're much more likely to ask, "Why don't they use commas in front of 'and'? Isn't that something you learn to do in fifth grade?" And while readers care about factual errors, who has taken a call complaining about the use of "over"?
And since you got me on a roll, let me make this point, too: Yes, the AP style guide is designed to provide clarity, and much of it does help do that, but it is also meant to be applied with some common sense. I've seen some who only edit with the goal of making sure everything fits an AP rule, without considering the intent behind the rule. The end result often ends up being more confusing and difficult to read than if you just bent a minor rule. The end goal of editing is to make a piece more readable and easier to understand, not to make it conform perfectly to the AP styleguide or any other stylebook that's written as a set of general rules that would fit the most common situations but certainly not meant to fit every single specific circumstance. A styleguide is a means to an end, not the end itself.