Product Management is much more than "gets things done but doesn't have direct reports".
If you've worked with great PM's and been a part of A+ product teams, you would see that the set of responsibilities is actually much more meaningful.
Looking at past episodes of this OP podcast (https://www.thisisproductmanagement.com/episodes/) the following are, amongst others, aspects of product management:
R&D
Building Human Machines
Employee Experience
Building APIs
Consulting
Pricing
Customer Experience
Venture Capital
Now I don't disagree with that at all, and have been involved with those things and many more, but at some point the definition becomes overly broad as to not mean anything outside of a specific organization being referenced.
1. Figure out a what success means for your venture 2. Come up with a strategy that leads to said success 3. Get your team to execute on that strategy (and never forget that you can be wrong about the strategy, but you can’t fuck up the execution...since otherwise you will never find out if the strategy works)
Now implementing this is far less straightforward...