In general, any time a process property is changed, the status of the project should either indicate that the process has not been run or that the process is out-of-date. When you use the Force Status option, it is possible to create a situation where this does not happen if the process property is changed back to the original value that it had during the last run.
Example:
NOTE: Force Process Up-to-Date is available in Project Navigator 10.1 and later.