They claim to like me and, being that several of them have worked with me at multiple companies over a 15 year span and at least one other has requested I take them with me in the future, I would probably say they appreciate my style.
That said, to respond to another commenter, policy can certainly cause friction with this sort of methodology and I have definitely run into it in the past. But, leaders exist to navigate company politics so their direct reports have more time to deal with the work they do; any friction encountered that is insurmountable points to deeper organizational issues and can (and in my case does) necessitate my moving somewhere that allows me the autonomy to build strong teams and develop high performing teams.
That said, to respond to another commenter, policy can certainly cause friction with this sort of methodology and I have definitely run into it in the past. But, leaders exist to navigate company politics so their direct reports have more time to deal with the work they do; any friction encountered that is insurmountable points to deeper organizational issues and can (and in my case does) necessitate my moving somewhere that allows me the autonomy to build strong teams and develop high performing teams.