It's only bizarre logic if you don't understand resource management and are ignorant of anything more than the most simplistic models and constructs. Going off of base cost while ignoring how much you regain while using it is going to give you a horribly flawed picture. Damage per TP isn't an important value; you want to look at net loss of TP per potency (which is what I've been going off of). The more something costs compared to your resource generation, the higher the opportunity cost for using it is. Overpower isn't expensive because it costs about twice as much as your single target abilities; it's expensive because it costs more than *5 times* as much in practical terms.
The first part of this is what keeps going over your head. Base cost means nothing without context. If base resource generation was 100, none of this discussion about cost would matter regardless of what damage per TP was. Damage per TP means *nothing* because Damage per TP lost per GCD is what's actually important. The second isn't actually all that true. It's true *somewhat*, but Fracture's contributions are negligible: it might deal ~80 more potency on the surface (you're almost never going to get all 10 ticks because the ticks are based off of server time, which means that, unless you hit it at *exactly* the server tick, you've got dead time on both sides) but that potency, distributed across the 13+ GCDs it would be applied over and accounting for the 2150 potency dealt over that time frame, the "benefits" of Fracture amount to a whopping 3.7% of total DPS. Factor in the buffs and everything else that Fracture doesn't benefit from or interferes with and it gets lower.Fracture deals significantly more damage per TP and significantly more damage per GCD than your main threat rotation does.
Fracture isn't worth it if you plan on fighting for longer than 2-3 minutes or less than 45-50 seconds, and even when you *do* use it, the contributions are small enough that you won't notice. The statement that it increases your DPS is semantically true and that's about it. In reality, you won't see real, practical increases to your damage *even when you use Fracture at the optimal time*. That's the entire point of this. Fracture has no real practical use for PLD *or* WAR: it costs a crapton more, decreasing your damage dealing capability over the long term, and adds so little damage that you won't even notice it.