If the runner is 3.3 or 3.4... nothing matters more than speed. Accuracy doesn't metter if you can't get it there in time.
The 2.3 catcher has no chance, the 1.8 catcher might accidently throw it accurately! At least he has the ability that will give him a chance based on his pop time!
Accuracy is no good if it is too late to get the quick guys. Obviously the slower the pitcher is, the less accurate the throw is and the slower the tag is... the more difficult it is to throw out the runner. But the only ability that the catcher controls is his pop time. That part doesn't change because the pitcher is slow or fast or the receiver is slow with the tag.