Indeed.
Forget what the Scrum Guide says - they don't know what they are talking about. They have never developed real products.
A product lead/owner/manager/whatever-you-call-it shlould be focusing on what the product needs to be, and what the path to that vision is. As such, the product lead needs to be partnered with a strong technincal visionary, so that they can collectively develop a product vision that maximally leverages the available or emerging technology.
The product lead should also partner with a small circle of stakeholders.
The product lead should not be spending their time writing gherkin, or worrying about Scrum or whatever process teams use - the product probabaly has 20 teams and they don't have time for that. What the product lead should be doing is meeting with their tech partner and key development leads to devise short term and longer term incremental milestones, questioning if they understand things, deciding what metrics they should be focusing on, looking at outcomes, and pivoting and if necessary.
That's what successful companies do.