Polearms give you variety: You have options for 1h or 2h, a strength monk weapons, and a finessable monk double weapon.
2h Edged gives you some variety: 2h Edged has 2 exotic 1h/2handable weapons, multiple viable 2h weapons, and multiple double weapons. In addition, when the falchion is added it will objectively be the best 2hand option in the game based on the critical threat.
1h Edged gives you quality: The dwarven rune axe, scimitar, and rapier are the 3 best weapons in the game.
1h concussion gives you two average weapons and a lot of terrible ones. The warhammer is a decent weapon, and the svirf rune hammer specifically is a good weapon, but every other option in 1h concussion is terrible due to the 20/x2 crit range and/or low damage. Out of the 7 weapons (tied with polearms for the smallest group), only 2 are remotely viable, and one of them is only viable for one race outside of an absurdly high UMD score.
Viable polearms: 7/7
Viable 2h Edged: 7/9
Viable 1h Edged: 13/15
Viable 1h concussion: 2/7

Here is every 1h concussion weapon and a better option in the same category
Simple Weapons
-Club: For monks, it is beaten by the kama or quarterstaff. For non monks, it is beaten by the spear.
-Morningstar: Spear
Martial Weapons
-Light mace: Hand axe, rapier, etc.
-Light flail: Hand axe, longsword, scimitar, battleaxe, etc.
-Light hammer: (except the svirf hammer): Hand axe
-Warhammer: The only viable choice in 1h concussion, although it's still just a worse dwarven waraxe that saves you a feat.
Exotic
-Whip: Everything is a better option outside of a few drow only loot weapons.