The 'Religious' races tend to be raced around a particular sect of a particular race. Abilities and flavor stuff tend to focus on this.
Shaman tend towards axes because, well, Orcs tend towards axes. Axes are powerful, primitive, and brutish, and it's more about the strength and blind fury of the user than their finesse with the weapon.
Priests abilities and lore are all based on the Human/High Elf priest of the previous Warcrafts, despite the fact that Priestesses of Elune, Sunwalkers, Forsaken Priests and Troll Priests all exist and follow radically different faiths. It's a catch-all.
Ditto Paladins all being based around the Knight of the Silver Hand, with no regard to the differences of Blood Elves, Draenei and Tauren orders (granted, none of those existed in vanilla)
Druids discount the typical Troll druidom, which is the same primitive animalistic worship you can see in the priests of any given Zul'again instance that take on animalistic forms or aspects.
Monks are Pandaren style monks, regardless of the prior existence of Scarlet Crusade and Auchenai Draenei monks before Mists of Pandaria.
But anyway.
Shaman don't use swords because Orcs don't use swords*.
*Yeah, yeah. Blademasters. Those are heroes, the few remaining berserkers of a warrior-clan that is mostly dissolved or evil. Rank and file Orcs don't use swords.