I use Fang's Taming Pole with stagger lock because I usually have her as a Commando (and occasionally a Saboteur) paired with two Ravagers -- and I don't think her other weapons offer significant bonuses for the role(s) I typically use her for compared to the Taming Pole's stats. You should definitely weigh the improved stats against the other weapons' special abilities though, not just compare stats flat out.

For example, the Stagger Maintenance II on the Betelgeuse/Total Eclipse increases stagger time up to 30% according to the official guide. Some of the additional damage accumulated party-wide (over damage in a non-stagger situation) during that extra stagger time should arguably be attributed to the Procyon line weapons. That could be a truly massive amount if your chain bonus is maxed out for those additional seconds.

In a battle where you will kill things before you get to a stagger, obviously the Procyons would be pretty bad, but in a long battle with several staggers, more stagger uptime for the whole party and a large chain bonus could swing things in the Procyons' favor. Situationally, where you are trying to kill an enemy in the first stagger before it "transforms" (Behemoths) or whatever, it might be worth using the Procyons just for the increased uptime, particularly if you are getting good damage from your other two party members.

Another interesting question would be whether Lightning is better off with the Axis Blade/Enkindler or something else. Axis Blade/Enkindler with the right accessories can get you the fastest attacks in the game, but with one of the worst weapons stat-wise. Does the faster attack speed make up for the loss in damage? What about driving up the Chain Bonus faster for your other damage dealers?

The math is insanely complex IMO (not the least of which because a disproportionate amount of damage can be done during staggers), and the variables almost innumerable because players will be using different party setups against different enemies, with varying progress along the Crystarium, and different weapons and accessories upgraded to different levels.

Beyond certain obvious tradeoffs among the various weapons for each party member, players might be better off experimenting themselves to see which they feel works best for their setup and style of play.