Back-ups are also not going to save you if the infection is time-delayed.
The proposition then becomes "Our last non-compromised (as far as we know) backup is half a year old, can we afford to lose months of progress, or should we just pay the ransom?".
Or perhaps the attacker doesn't have a persistent foothold, but can make a credible claim that they do - do you take the risk? Keeping in mind that every moment you burn investigating and trying to discover the extent of the compromise is another moment you're down and burning money.