###That is the correct interpretation of these abilities.###
That is the correct interpretation of these abilities.
Raging hunter pounce gives you a full attack, which means that any abilities and effects you have that apply to full attacks apply here too.
However, I do want to note that Path of War is currently undergoing errata where the high amounts of damage, particularly from full attacking initiators, is being looked at and most likely nerfed. This is especially true regarding Broken Blade and Primal Fury, which are noted to be a bit overtuned compared to other disciplines. The errata is not yet finished and ready for playtesting/release, but it's something that I'd keep in mind.
Rules-wise, you're correct though.
Source: I'm the editor of Path of War: Expanded, and working on the errata for Path of War.