The marketing process is visible in parts across the marketing organization:
Sometimes your unique funnel model may be taken as the marketing process, but the real idea of the marketing process is that it is active in the details of the activities of the individuals and hence can be identified, reasoned about, improved, built, and learned from.
Also, the marketing process is not a bus of activities that coexist in a line.
Analysis of a funnel is done in a line, but the marketing process is very different from that.