I'm not trying to parse words, UKG, but a distinction is needed. You brought up the possibility of smothering (I think) to account for the blood on her pillow. There's no other reason to suspect it that I know of. Yes, smothering with the hand would lead to the same injuries. In fact, that one picture I linked was from someone who had been smothered by a hand.
Asphyxiation is what occurs when the body is deprived of oxygen -- whether that happens as a result of smothering, chest compression, strangulation, choking, drowning, or even certain chemical reactions (e.g., nitrogen, argon, carbon monoxide). It can be from lack of oxygen to the lungs, or it can be because the blood carrying oxygen is blocked. JonBenet was asphyxiated -- by the ligature that stopped blood flow to her brain.
There is no sign that any type of smothering ever occurred. As it is, we know that JonBenet was already bruised, scratched, abraded, poked, bludgeoned, raped, and strangled. Why throw in something else that never happened?