So I guess your understanding is more intuitive, after all. In fact, when we talk about the distance between two things, we usually mean the minimum distance between a point on one and a point on the other. OTOH, most people would probably say that the distance between Canada and the US is 0, the minimum distacne between their borders, not the distance between their geographic centers. The "distance" given is from the center of one tile to another.
Then, in a logical progression, the tiles right next to a given tile are 1 tile apart from it, and so on. So by your system, a tile would be -1 tile apart from itself? I guess you would say it's not apart from itself at all, but to me that sounds like 0 tiles apart.
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