IMO - 'Multiple Sharp Force Trauma' is extra depraved. Regardless the tool or weapon, it feels like a more hateful and demonstrative way to kill.
We don't know the details of her fatal injuries, so we don't know if the wounds were random, or methodical. Rage-driven, or ritualistic. The differences would be very telling.
Or maybe a sharp object was simply what he had on hand. IDK
MOO - CR readily gave LE her body. He admitted to getting angry and attacking her. I think his description of the abduction sounds plausible, as well (yes, some victim blaming, but maybe he really did go into a rage when she not only rejected him, but found him so alarming she threatened to call for help). Of course SA could have been his motive from the beginning, or it turned into that. Again, we aren't given that information.
In any case, he knows what he's done, and he knows he's in trouble. Lying and then handing over the body are contradicting, however. Maybe he's truly shocked by his own perversion and doesn't want to admit out loud those things he did with such deviance. Or not. We can't see inside his mind, and wouldn't probably want to.
I think he could have done this before, but I also think it could be a first time. I don't have enough details (or knowledge) to make that judgment.
In any case, the cause of death brought my thinking of CR, and this horrible event, to a whole new level.
Note: I'm wondering if the farm house is getting searched because they are looking for the murder weapon (or clothing, electronics, anything else from that night). Is her phone there? Is that why LE asked LC if MT was inside a house at 9:45pm? We may never know.