Well, that depends on the role. If you're writing a lot of content and not driving a lot of strategy, you probably should be a content marketer or a writer. If you own strategy of product marketing, and product marketing is an important marketing function to drive growth, then I'd say there's a clear path to director of product marketing. You can look at a company that's at the forefront of marketing to see how important product marketing is, Hubspot. (you can also look at Salesforce, etc.) A PMM there for three years (Meghan Keaney Anderson) made it to Product Marketing Director and then ultimately VP of Marketing.
Meghan's LinkedIn for reference: https://www.linkedin.com/in/meghankeaney/
Now, if PMM sits under product for a certain company and mostly owns input to the product roadmap, then that person won't lead marketing, and likely won't lead product. My two cents.