So SE said in a interview that Geo and Rune fencer will not be able to use Relics and Empyrean weapons.
Either way the issue as a whole.
Firstly DNC and SCH
These 2 jobs fit the lore of relic weapons massively so i really think at the least DNC should be able to use mandau and SCH should be able to use club or staff
Now PUP COR and BLU
All 3 Weapons wouldn't make any of the jobs overpowered but the gun would help COR alot when wildfire (it's prome source of DMG) isn't available either way i think BLU is a skilled enough swordsman to weild an Excalibur and COR gunman to weild Annihilator and PUP worth enough to wield the hand 2 hand.
Finally GEO and RUN
They definitely should have the option to wield empyrean the gsd emp and staff emp arn't ground breaking weapons so i see no reason why they shouldn't have emps
Then Relics well it depends w/ the above if BLU COR and PUP get access so should GEO and RUN
Honestly only having mythics as a final weapon is kinda sad
In summary my suggestion is this
There should a be a relic and empyrean for every job in the game