An experienced manager is not easy to bullshit regardless. Sometimes a non-technical manager is better for many reasons. Having business domain experience can be just as valuable
Yep; though enough time working for companies tends to instill some knowledge and understanding of the business side of things, and as long as understanding of the business correlates with their own influence it tends to work out okay.
Management is weird in that understanding of the tech side of things doesn't correlate with influence.