I find it easy to understand the process when I relate it to the content of therapy. I find Irvin Yalom's explanation to be most useful. While the content of therapy is the symptoms / issues / stories you bring to therapy, the process is how that happens. How you tell or don't tell things, tone of voice, changes in attitude, your and / or your therapist's reaction to the stories, etc.

My therapist would never say I'm fighting the process. In my understanding (as well as his), if I am fighting (him or my feelings or a topic), then that fighting IS the process. We sometimes focus on this.

My therapist and I find process-oriented work to be useful. It can be difficult too. I guess it's not for everyone, but when it works, it really works. But it depends on the skills of the therapist and the openness of the client.