My company is a not for profit research organisation. When a product manager could be considered, it's usually time to do a spinoff and to keep focusing on what's fun.
I worked at a marketing driven company, where marketing would work with sales and customers to figure out what was needed. Marketing would then pass that down to project managers who managed UX and engineering projects.
The work that product managers do is usually present in a company, but it's not always consolidated in a single person. In this example, it was spread out among marketing, project management, and UX.
