All Lancer, Gladiator, and Pugilist are are weapons.
Final Fantasy Tactics had no restrictions on what weapons a Job could use, Once they learned the skill to do it they could equip just about any weapon.
White Mages could equip Axes, Monks could equip Katanas, etc.
Before they learn those skills though Monks alone can use Fists, Bangles, Claws, Knuckles, Poles, Staffs, Spears, Knun-chucks, Sais, and many other weapons. MONKS in Final Fantasy Lore are NOT limited to Fist Weapons.
How it should be.
User Equips Weapon. Learns skills from Weapon. At Certain level they learn to master a Playstyle (Job). After they master that playstyle they can then share that playstyle on any weapon they train.
Its the same as the Subjob system from T and other FF's.
Just because you don't think a certain subjob shouldn't be usable by the main job in FFXI didn't mean they blocked it in XI. And a lot of the subjob combos in XI were usable even if not popular. Case in point White Mage / Paladin. It isn't popular especially for a normal XP party, but for special parties and BCNM's its Epic.