Transmuting from a zombie to a skeleton, his nature as an undead didn't change, although he lost the decayed flesh that weighed over a hundred pounds. Most crucially, after becoming a Skeleton Guard, Ralph slowly regained some sanity and gradually remembered minutiae of his past life.
In his perspective, this could be considered a form of rebirth.
Unfortunately, even after being reborn, he was still an incomplete, one-armed skeleton. When wielding a sword, his center of gravity was unstable, causing him to stumble. Worse still, his missing hand prevented him from using long-handled weapons and accessories like shields, so in large-scale battles, he never survived to the end.
What caused his third death was an intense battle between the undead.
The battle was fought between Viscount Fred and the guards of the small town under his command, against The Lord of Tri-Skull that appeared from the vortex, and the Legion of the Undead under its command.