With all due respect, I don't think that is true. If the contactor coil fails, then the holding contacts open, which de-energizes the holding circuit.
For a manually /locally controlled starter you are right. But this discussion is regarding an automated system, by virtue of the DCS. When someone spends six to seven figures on a control system, they do not rely on a local Start-Stop push button for control (other than maybe a manual override). The DCS will be using 2 wire control, in which case there is no seal in contact. Reliable control system design philosophy dictates eliminating as many errors as is reasonably possible. If for example this is a chemical feed pump as part of a process to make a product, having the pump not run, but the DCS getting an indication that it is running, can result in major losses and clean out costs. A simple extra wire prevents that false reporting.
Now, all that said, the reality is that MOST starters can accept at least 4 aux contacts, many larger ones and most NEMA contactors can accept as much as 8. The likelihood that the OP's DCS controlled starter is using 4 aux contacts already is fairly low. You typically do not need a lot of aux contact interlocking in a DCS controlled system because that would be done in the DCS for a variety of other safety issues. So most likely the reason the OP is silent on this is because after reading iwire's first response, he figured that out.