I can't understand the logic of counting one side either. In my experience, there are as many 3, 5, 7, 9 pointers as there are 4, 6, 8, 10, etc.
If you're only counting one side and you say it's a 5 point, does it have 10 total or 9 or 11? How would you know? Doesn't make sense.
Besides, all the official counting systems count all points. In terms of deer, I believe they're all based on a 1" minimum to be a point but I wouldn't swear to it.
Still happily answering to the call-sign Peetza.
The problem, as you so eloquently put it, is choice.
He is no fool who gives what he can not keep to gain what he can not lose.
-Jim Eliott, paraphrasing Philip Henry.