I don't know how much that would help. If senior management were capable of contributing at this level, they'd be an architect or product owner. They're not, so

I don't know how much that would help. If senior management were capable of contributing at this level, they'd be an architect or product owner. They're not, so they cannot help. A certain design and a certain set of requirements is what defines the time table. You can influence it to a very small degree by adding more people, but that's it. Nothing anybody can do will make it faster, unless they propose a better more efficient design or way of doing it. Or reduce the requirements.