Speaking from experience, they don't. I know this because I tried to introduce a walking culture into my team as I built it. Problem was whilst I could WFH my manager didn't believe in it, so everyone was hired into an office in the middle of the city. Walking in a busy city center is not quite as effective as doing it in the sort of place people tend to live. Also, he claims he thinks best whilst writing not walking so there's a mismatch of styles. But I guess mostly the issue is people aren't really expected to think too hard, just churn through tickets.

I am not so sure. Some managers just need to feel complete control over their teams. You also can't predict when the inspiration hits, it's not like you get great ideas every time you take a walk in a forest.