I don't know of any business where they wouldn't be involved. Not in the "Let's talk directly about implementation details" way, but in the "Driving product development and roadmap" and "ascertaining value to our customers" way.
Any time spent on work that doesn't directly create value for customers is work that the business should be weighing in on. I'm not saying that you should never spend any time doing anything else - but these are trade offs that the product manager should be involved in, and one of their primary jobs is being able to weight the technical and business realities and figuring out where resources should be going.
Any time spent on work that doesn't directly create value for customers is work that the business should be weighing in on. I'm not saying that you should never spend any time doing anything else - but these are trade offs that the product manager should be involved in, and one of their primary jobs is being able to weight the technical and business realities and figuring out where resources should be going.