What kind of product marketing types are there? What does a "full stack" product marketer look like to you?

I personally don't see product marketing to be of different types. However, as you setup a product marketing function you need to develop work streams that are led by experts. 

These foundational work streams can include: 

1. Developing GTM messaging
2. Coming up with pricing methodology
3. Developing sales playbooks
4. Managing product launches
5. Churning out content with a regular cadence
6. Developing competitive outtakes
7. Managing relationships with industry analysts 

I don't see one person being an expert at all of this. As a product marketer, you need to align yourself with certain foundational components of product marketing and try to become an expert in it.