Is the staff different than other characters that get objects attached that dont count as part of your force
Yes. There are only three characters (at this time) that start with objects that don't count as part of your force. They are:
ASM102 The Zombie
AMULET OF DAMBALLAH: At the beginning of the game, place an Amulet of Damballah relic token in a clear square as close to the center of the map as possible. This object does not count towards your force and is decribed on the back of the card.
CA040 Captain America
THE SHIELD (LIGHT OBJECT): The Shield can't be destroyed, only #CA040 Captain America can hold or pick up The Shield. When used in a ranged attack, Captain America may target two characters and deals 3 damage to each hit character. After any attack using The Shield involves, place it in a square adjacent to a target's square. This object does not count toward your force.
ZODIAC KEY (IMMOBILE OBJECT): This object can't be destroyed. Once per game per character, give a character occupying Zodiac key square a power action and roll a d6 that can't be rerolled. On a result of 6, place this object on that character's character card. Modify that character's combat values +1 and that character can use Probability Control if it cannot already. When that character is defeated, place this object on the square that character last occupied. This object does not count towards your force.
Compare their wording to Harvest (and most other characters who can have objects attached to them).
N.O.W.H.E.R.E.S.'S CONTROLLER: Harvest is a wild card but may only use the team abilities of friendly characters with the N.O.W.H.E.R.E. keyword. Harvest may begin the game with Harvest's Staff assigned to him by paying its point cost. This object does not count towards your object total and is scored and removed from the game when Harvest is KO'd.