> In my experience it is a rare person who can do both of these at the same time.

I'm one of those rare people. I do not recommend it.

While I love my product and believe in the company I work for, I've seriously considered leaving so I can actually focus on one thing or the other.

For what it's worth, I'm a former full stack developer who transitioned into the product role. This means I have the technical skillset to translate for my dev teams. This is a blessing and a curse while wearing both hats.