These mods increase the speed of your attack and by doing so increasing your DPS as well. Increasing Attack Speed/Rate of Fire Phantom/Kunai These mods increase the base damage of weapons which definitely help those using Pistols which have generally lower DPS.
Damage Increasing Mods Crush/Cold Shoulder These mods are those that you can easily benefit from, no matter what build you are working on. Hitting a target reduces damage received from them by xx% for 10 sec. Renders your weapon non-lethal, allowing you to damage your enemies without killing them. Increases chance to apply damage-related status effect by xx%. Reduced reload time after fully emptying ammo clip. The basic purpose of weapon mods is to increase the effectiveness of weapons in battle - whether it's to make your damage higher or to make your weapon more effective in a particular situation, mods are your weapon's way out of a tight spot.