Can't lose health if enemies are all dead. Unless enemies become 3x tankier, combat just ends too fast to even bother speccing in Con.
Sure, if you only do play-through with heavy physical damage all the time.
I for one enjoy trying different things on each play-through and having a tank with 250-300 HP by the end of Act 1 gives one hell of a good feeling.
I was actually thinking of making a pure Warfare - Pain Reflection sword and board tank with the bare minimum Strength, 0 extra Wits and Memory and pure Constitution on top of the Picture of Health talent.
I wanna see if I can get a tank with more HP than the Drillworm.
