I don't see the "turning off the alarm" trick working any better than the "killing with stun" one. The question would immediately arise why and how the alarm was turned off if entire people started disappearing from the ship, and the person responsible for turning off the alarm would be exposed by Spock's computer expertise, or at least the list of suspects narrowed down by the known clearances and skills of the crew.
In contrast, any villain could perform the kill-with-stun trick. And the more corpses left behind, the better - the idea was to frame Kirk for wrongdoing, and since subtle wasn't working, gross might be needed to do the trick. Leaving the two bodies basically right next to Kirk's cabin, in some sort of an officers-only corridor by the looks of it*, would convince those in need of hammer-on-the-head clues, while circumstantial evidence would already suffice for the subtle-will-do lot. Heck, it was clear already that somebody with access to officer territory was involved, considering where the uniforms were hidden - no doubt another move intended to implicate Kirk.
* None of the crew obviously goes there before Kirk and his officer friends do, and they appear to be heading for Kirk's quarters to let the skipper recuperate. If they were headed for the bridge, they would have taken a direct turbolift, after all.
Timo Saloniemi
In contrast, any villain could perform the kill-with-stun trick. And the more corpses left behind, the better - the idea was to frame Kirk for wrongdoing, and since subtle wasn't working, gross might be needed to do the trick. Leaving the two bodies basically right next to Kirk's cabin, in some sort of an officers-only corridor by the looks of it*, would convince those in need of hammer-on-the-head clues, while circumstantial evidence would already suffice for the subtle-will-do lot. Heck, it was clear already that somebody with access to officer territory was involved, considering where the uniforms were hidden - no doubt another move intended to implicate Kirk.
* None of the crew obviously goes there before Kirk and his officer friends do, and they appear to be heading for Kirk's quarters to let the skipper recuperate. If they were headed for the bridge, they would have taken a direct turbolift, after all.
Timo Saloniemi