Alternate Character Interpretation: The third brother was just as screwed as the others. Demanding invincibility and the power to raise the dead are both pretty hubristic, but so is the demand to hide from Death. Brother Number Three spent his entire life hiding away from the world, unable to meaningfully interact with other people, unable to truly live. And what happened to him in the end? He welcomed Death as a friend, committing suicide just like the second brother, because his hollow life had become unbearable. The Cloak is just as much a curse as the other Hallows.
He may have already had a son before he got the cloak. The story does say he hid from Death for the rest of his life, after all.
Unlikely given the literary theme. The middle brother is written in the cautionary, somber tone you would expect of a story of someone Driven to Suicide. The younger brother, by contrast, is praised and respected.
Meh. Call it Values Dissonance if you must. Just because it's written in one tone doesn't stop it from looking a hell of a lot like something else.
He did not commit suicide, he died of old age, but content and fulfilled in his life, hence why he welcomed Death as an equal, not something he was running from anymore.
He was immortal as long as Death couldn't find him; taking off the Cloak was basically inviting Death to come and claim him. Suicide by old age is unusual, certainly, but in this story it's no different from taking yourself off life support.
Anvilicious: Out-of-universe, Dumbledore's notes continue his proud tradition of laying out every single nuance of the story previous in exacting detail.
Freud Was Right: Dumbledore notes that all the claimant owners of the super-powerful Elder Wand have been men, adding "make of that what you will."
Values Dissonance: In the context of Potterverse; Babbitty Rabbitty feels no compunction about threatening to use a curse later declared Unforgiveable and outlawed.