Why Hydrochloric acid aren't classify as organic acid?

I can still remember the look of my F.4 Chemistry teacher when I ask him the question as stated in title.My thought is like this: Organic acid must related to what organism produce and secret, therefore we can assume any chemical found in any organism, that must be organic. However Hydrochloric acid is such an troubling exception to the rule. Only did later I found the accurate definition of ogranic acid as any acid contain the element of life: The all powerful Carbon. Why must they use this definition instead of mine?
Furthermore, I thought that natural is by definition resist classification, for order is what conscious mind impose to the universe.(Classification is what make conscious mind conscious.) Thus this could be taken as evidence against any variant of Intelligent Design/Creationism, since it would be difficult for any human being to imagine such an unogranized creator/designer.
Now, since inorganic substance could be produced by organic organism using mechanisms and rules of organic Chemistry, why can't we reverse the process for inorganic material to produce organic compound using inorganic Chemistry, logically speaking?