Chris, I know exactly what you are talking about. But points are also blunted when people actually use the points on their knives in heavy duty work like carving wood. I wood carve alot and experience this often. BTW, getting and using a wood chisel set takes alot of the fun and challenge out of it.
The only time I have any problem like you describe with gradually changing the angle is with low quality blades. It was a Wenger SAK with a spear point that I sharpened lately and had trouble with this. In my opinion the blade was low quality, even for a knife that retailed at $30.. I learned from it though. Got it for $1 at a yard sale though, LOL.
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Me, a vegetarian? My set of teeth came with canines.