I think there are a couple of things to think about. One is that even a well-formed point wouldn't likely be thought of in quite the same way we might think of it if we had made it. For most of us, producing a pretty good point would take considerable nit-picking concentration. It's just not something we do every day. A stone weapon hunter or food processor knocks them out quickly and with little effort. He wouldn't think much more of it than we would of sharpening a knife. We really have very few occasions to make our tools on the spur of the moment. He just happened to be limited to stone and bone, so that's what he worked with. And it was such a mundane task that he would just whip something up as a matter of course.
Now, put that together with the uses. Points for weapons. When your arrows and spears are wooden, and your wood cutting and shaping tools are stone, the shafts probably represent a lot more work than the point. They have to be cut, and while stone tools can be very efficient for cutting hide and meat, they're not very efficient for cutting and trimming wood. And an arrow, if it's to be used over any distance, needs to be straightened, which takes heat and another tool. If I'm hunting with such things, I would find that they most often kill by causing bleeding. No "knock-down" like we take for granted with firearms. So, maybe more often than not, I expect my weapon to be carried off as the animal runs away wounded. I have to follow up and hope he drops within a reasonable distance. I'm not going to follow a turkey for very long. If I didn't come up with it in less than an hour, I'd write that one off and find another. I might follow up larger game for longer, but if it didn't go down soon, I'd quit when I lost a blood trail, figuring it just isn't going to die.
So I have a choice. Bind my points fast to the shaft and risk losing point AND shaft, or bind it loose and save the shaft. I'd mount it very loosely. Can't do anything about the point anyway. Either the animal will die, and maybe I'll get it back unbroken, or it won't. I'm just not going to get too excited about the point. If I got the game, I eat, and I can make another point easily tonight while I sit there burping. Without making inquiries among peoples who hunt with projectiles that kill by bleeding, I'd guess that many - if not most - game animals carry off the point when hit by a single strike and survive or die much later. Consider how many in a good game area over 10,000 years, and that's a lot of points. Also a LOT of misses that could well be left behind if you'd rather pursue the game than hunt for an arrow. And, since points are loosely mounted, I can easily carry considerable "ammunition" and repoint my shafts, even on the run. Some of those get dropped and lost, too. I'm sure not going to give up a hot trail to stop and root around for a dropped point. And operating in this way means you make and use a LOT of points. No big deal for a man adept at making them.
It doesn't take a "perfect" point to do the job. It just has to penetrate. What's surprising is that there ARE so many very finely executed points. Probably the work from the "fat times" when you could afford to sit and work. And practices could be different in different places and for different purposes. In war, I might want to bind my points firmly. I want to disable, and a shaft sticking out is hard for a wounded enemy to deal with. And I'm not worried about traveling real light. The fight will be in one spot, and I want good rate of fire more than I want to keep the number of shafts down. If I win, I'll get them back. If I don't, I won't be worrying about that or anything else again.
There's just little to gain from firmly attaching points in hunting. I'm going to lose plenty of shafts anyway with very big game. The shaft's just going to stay in anyway sometimes, if it's in open country with nothing to knock or drag it out. As firearms people, we tend to imagine stone hunters thinking the same way about just their atalatl's or bows as we do about our guns. But I think they would feel just as attached to a nice spear or arrow shaft, maybe bringing out a favorite, perfectly straight, tried and trusted arrow for the one-chance long shot at a fat prize food animal. And I wouldn't want to lose that one. Points have been found in prehistoric animal remains, even the relatively few of those we've found.
And what's easier to do when a stone butchering blade gets dull? Mess with trying to sharpen it, or just knock off another one and toss the used one aside?