It think this Wikipedia article has it wrong. It says:
"However, particle/antiparticle pairs are observed to electrically attract one another, often as the prelude to annihilation. This behavior implies that both have positive inertial mass and opposite charges. If the reverse were true, and antiparticles had negative inertial mass and the same charge, then the normal particle with positive inertial mass would still be repelled by its anti-particle."
If the anti-particle has negative mass it has negative inertia so it moves opposite to the direction of the force. Thus, if the force is away from the normal particle (if the particle and anti-particle had the same charge) the anti-particle would accelerate
toward the normal particle. So the result is the same as if they had opposite charges and both had positive mass.
AM