There are different styles of processes, and the techniques to handle those will have to differ. And all will continue to exist.
There are tools that have capability to do Process Management in structured manner, and there are tools with capability to perform dynamic case management. What you need depends on how you want to treat the situations and incidents. You want Case Management culture or Process Management culture – that’s the key. Everything could be treated like a case, and everything could follow a process. What do you want?