The value shown on the character sheet is just generic ignite chance that applies to all skills. That’s the 153% + 8% granted by Torch of the Pontifex and the idol. Calamity’s ignite chance only works with fire skills, so it doesn’t get added to the total shown there. Similarly Sunwreath and the passive only apply to melee attacks.
When we update the character sheet we plan to make it possible to check stats like “chance to ignite with fire melee attacks” which would show your total ignite chance from all those sources.
Warparth is a melee attack, so it benefits from Sunwreath and the Majasa Firebrand passive, but it is not a fire skill, so it does not benefit from Torch of the Pontifex. However its tree is being reworked in 0.8.3 and the new tree will include a node that converts it into a fire skill. If you take that node then Torch of the Pontifex’s Calamity’s ignite chance will apply to it as well.