You think the tillage causes your heart breakers?
I have news for you. Not saying they never cause any, but I'd bet you, you could take the biggest tractor you could find, pull the best ground ripping piece of equipment that you could mount on it, and not put a scratch on any given point sized rock you decided to toss into that field, and you could have all day trying rock.
The natives un-halfted and tossed way more broken stuff than they lost as completed tools on any given camp or village site.
Look at what Larson finds for example, he runs his tillage with the intention of finding good things, and he does!
I will guarantee you, anyone with a site like that would keep the equipment out if it caused the damage you imagine.
Fresh turned dirt is any field hunters dream, run with it, and quit your whining!