As of right now none of the relic weapons are usable on the ToAU jobs.
Gun and Dagger would be excellent calls for COR, but the relic weapons themselves have not been changed yet. I'm scared about them touching anything, especially after the accidental change they made to Apoc.
Taking a look at BLU, I'm guess the only weapon that fits would be the sword (but it's not the curved blade type BLU normally uses).
PUP would be okay with H2H, but I think they may need to add something (like they did with PLD shield) to give PUP something to shoot for.
To be honest, I was hoping I'd see three new relics introduced that fit the jobs better instead of trying to fit the weapons to the jobs. Hexagun, Curved blade, and possibly a Relic Animator or frames would be cool additions. I really want to see a hardcore COR, BLU, or PUP get something of their own.