Draven would be like olaf, if he doesn't pick it up he can't auto D:
MF would have her autoattack turned off after ulting and she'd need to go back to base to recharge
Jinx would have 100 pow pow bullets and 1 rocket everytime she went back to base, she could buy more but she'd be slowed
Ezreal is magic so no recharge
Ashe would have 100 arrows available that counted towards volley and Enchated crystal arrow, recharge everytime you go back
Caitlyn would have infinite ammo but she would need to recharge constantly (it's a sniper rifle not a handgun -.-) it would also pierce through targets
Varus is magic so no ammo
Kog would trigger his passive after shooting 50 times, he wouldn't die though but he would enter stasis and reform
:P