You can have multiple ABRs which connect an area to Area 0. With a stub area, a router in the area could choose the best ABR in the path to the destination, but with a totally stubby area, it will just choose the nearest ABR.
For instance, if you have two ABRs for your area (Area 1), each ABR will have, at least Area 0 and Area 1 interfaces, but one of them could also have an Area 2 interface, or it could be directly connected to an Area 2 ABR with a low cost, but the other ABR would have a higher cost to get to Area 2. It would make sense, when sending traffic to Area 2, to send it to the ABR with the lowest cost to Area 2, but a totally stubby area doesn't know how to do that.