Overlaying Journey Maps and Process Mapping

In e-commerce Times: Have not used the idea, but how about linking the idea to Business Process models?   Why not have time flows and value flows in the same map?  " ... You can look at the journey map and its supporting tools as the business' structure-making socio-customer-science effort to keep revenues flowing in one direction and customer happiness percolating in the other, and that would be a good thing. Journey maps will be found all over your business in a few years, starting with marketing's effort to corral customers to sales' attempt to brand them ... "