This is along the lines of my theory with one difference. Actually , your proposal is somewhat inline with what Jury's Out posted. It's possible that TS called the cops based on the stomping and then confronted Kortne. But, this way he would be risking a whole lot to call the cops and then commit some sort of foul play and have to cover it up quickly knowing the cops were well on the way. The theory I proposed is a bit different in that there is a twelve minute window where after Kortne stomped on the floor, CP could have been passed out cold, there was an altercation between KS and TS to where some sort of foul play occurred, and only after that he called the cops at 4:12 AM. The difference is that with TS calling the cops after the altercation with Kortne, it looks as if there was a disturbance next door that he had no part in, thus pointing the finger at CP (Alibi). Th problem is that if TS called the cops before he confronted Kortne, it may be obvious to the cops that TS had an axe to grind. While 12 minutes is not a long time between the stomping and the time TS called the cops, I have to consider that tensions were running high and TS was apparently nearly assaulted earlier by KS when the police showed up at 3:30ish. This may have really pissed him off, especially that all of it occurred in front of the down stairs neighbors. So, what I'm saying is that TS's call to the police after he harms her serves as an alibi, but it doesn't work the other way around, instead it would implicate him if nothing else. The police show up at 4:31 and nobody answers the door. In this amount of time from 4:12 AM when TS originally called the police, to 4:31 AM, the time the police actually showed up, what was transpiring? My guess would be that TS did something to Kortne and quietly, I can't elaborate how exactly, but it was done in a manner as to not alert the dogs or CP. When he was done, he either dragged her into his duplex and did not answer the door when the cops knocked and waited for them to leave before he disposed of her body, or he took off with the evidence which is just one more reason why he didn't answer the door when the cops knocked. While, our theories are similar, I personally find it more plausible that TS would use that call to the cops as an alibi and to point the finger in the other direction as opposed to risking killing her and then taking his chances by calling the cops possibly incriminating himself even more so. This would still allow him until Monday morning to get rid of any evidence. I personally feel that 12 minute window between the time Kortne stomped on the floor and the time TS called the cops is the key to all of this.
To sum up and make this simple, when exactly TS decides to make that call to the police either incriminates him or exonerates him. If he makes that call before he harms her it incriminates him. If he makes that call after he harms her, it not only gives him an alibi but also points the finger in the other direction and exonerates him, it's a crucial point for this reason.