I've been thinking about this post more and I think that to be able to truly compare the value of non-renewable martial/caster resources vs. renewable ressources classes, you should factor in some kind of cost per second scale because the supply and demand isn't always the same. Where it gets dicey is that value is dynamic for non-renewables (it goes up the more the fight goes on) while it is more or less stable for renewables with a steady flow of resources.
Let me take an example: in a party, we have a Trickster/Devoted and a Helwalker/Troubadour (2 popular classes):
Let's consider a short encounter lasting 20s:
Our Swashbuckler will have 9 Guile and 9 Discipline available at start. Our Cantor will have 6 Phrases at start, build up about 6 Phrases over the course of the encounter, have 9 Mortifications at start, 5 Wounds, and build another 6+ Wounds depending on what they does (dance of death, MotS, getting hit...).
The Swashbuckler can decide to spend all their resources however they want right from the beginning, and this is important as many fights are front-loaded and you want to turn the tide in your favor quickly before the enemy does - by having the flexibility to use high-impact abilities at the right moment.
The Cantor will have a starting pool and build up resources over time so they will have less flexibility on when and how they can spend their resources, which might result in wasted time and/or resources. However, they also Chant from start to finish on top of "doing stuff", and each Wound they possess gives them a buff.
=> All in all, they seem relatively on an equal footing in terms of resources value vs. cost.
Now let's consider a 60s fight:
The Swashbuckler will have the same 9/9 pool so they will have to be a lot more considerate in how they spend resources, probably use them more sparingly on truly critical abilities i.e. each resource's value will comparatively go up.
The Cantor will have the same starting pool as before, the same Chanting lasting the entire fight and they can steadily generate about 20 Phrases and 20+ Wounds, going on with their routine and adapting their spending as the fight goes on. Overall they won't have to use more or less sparingly their resources, just arbitrate on what is the most effective usage.
=> The more a fight goes on, the higher the value per resource goes up for the Swashbuckler and the value is stable for the Cantor.
Of course trying to figure out the conversion rates between resources for each fight duration would be insanely complicated. But it poses the question of: on what average fight duration/difficulty should the game be based on for balancing out resource value between classes? I feel like this was balanced based on short/easy fights, while the harder/longer fights that truly matter give a clear edge to renewable resource classes.
It should be noted that Tactician, Blood Mage and Cipher are a bit more complex cases in terms of resource value linearity, Cipher being the most complex/interesting case: because of Scion vs. Soulblade vs. Ascendant vs. Beguiler each have an interesting quirk and because of Ancestor's Memory. In particular Ascendant might have a weird U-shaped value curve with multiple U's over the course of a long fight. But overall I think Cipher is more balanced and closest to non-renewable classes in terms of average value/cost of abilities. Monks and Chanters got a really, really sweet deal on fights that truly matter, especially when you start factoring in special equipment (Sasha's, Weyc stuff, Least Unstable Coil, Blightheart / Ajamuut, Hylea's talons, Mortars...).