Tested some different damage procs (weapon/armor), looks like only the DoTs & lifedrain procs have a unique statement.
The DoT i mentioned earlier, the lifedrain looks like this;
[09:35:22] The barrow wight hits your torso for 30 (-10) damage!
[09:35:22] You hit the barrow wight for 84 damage!
[09:35:22] You steal 84 hit points.
All the other damage type procs said the same thing;
[09:37:25] The megalith wight hits your leg for 38 (-14) damage!
[09:37:25] You hit the megalith wight for 127 (+12) damage!
The damage shield proc is being treated as a melee damage add;
[11:13:22] The Arawnite headhunter hits your torso for 37 damage!
[11:13:22] Your armor becomes too hot to touch.
[11:13:22] You hit Arawnite headhunter for 17 extra damage!
This is technically proc damage but is being categorized as melee damage
-----signature-----
Judochop, 50 Minstrel
Caspean, 50 Scout
Valacarr, 50 Pally
Necrocarstein, 50 Necro
Frenchmen, 50 Cleric