excruciate 1560s, from L. excruciatus, pp. of excruciare “to torture, torment, rack, plague;” figuratively “to afflict, harass, vex, torment,” from ex- “out, thoroughly” (see ex-) + cruciare “cause pain or anguish to,” lit. “crucify,” from crux (gen. crucis) “cross.”
Did the means of killing Jesus have to be excruciating? What if he’d been killed instantly with a deft whack up side the head? Or if he’d been given poison and died in his sleep? Would we be as awed, humbled, grateful?
My guess is, Nope. Otherwise God would have done it differently.