Depending on the type of capacitor, it may or may not fail "sacrificing itself" in lieu of other components.
Ceramic capacitors will tolerate double their rated voltage for some amount of time without any problems. Electrolytics, on the other hand, will begin to draw current at a fairly low amount of overvoltage, acting to clamp the voltage. So in rare cases you may be right, but if the design is relying on electrolytics to clamp voltage spikes then it's a poor design to start and probably won't last long no matter what you do!
However, without knowing the circuit and its purpose, the only safe option is to use the same part number component as a replacement. For example, in a switching power supply, the filter capacitor must have a specific amount of ESR; in some designs, too little ESR will cause the supply to become unstable, while in all designs too much ESR will result in higher voltage ripple.