Process maps in this context are much closer to parts of a service blueprint. They’re more towards the detail of how a service becomes operational and can scale as part of service delivery (the detail of how it works).

Process maps versus journey/service maps comes up as a topic quite frequently… it’s also relevant to how you think about business analysis as part of your work compared to your design focus… more here: https://medium.com/leading-service-design/comparing-service-design-and-business-analysis-aed52d8ea8fb