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Actually, it's asymmetric in that the upper case of lower case "j" is the dotless "J".

Does it, though? Would you also say it would make more sense for the lowercase B to have two enclosed spaces instead of just one?

Would it make more sense to have just one glyph for a letter instead of two? Of course. We're not getting anything out of making the distinction.

Sure, but only if you can convince every other alphabet to either replace their lower case "i" with the dotless "ı" or their upper case "I" with the dotted "İ".