I've seen more General Manager positions at product-led companies recently. A GM is like a meta-Product person, and has the responsibility of a product leader, plus:
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Owns P&L for a line of business
Owns one or many products for a market segment
PMs report to the GM, but other roles do as well
Directs all resources needed to make a product successful
Wayfair, HubSpot, Tripadvisor, and Toast all have GMs. Do you have them in your organization? Does it make sense? Tell me a story.