That could make a fascinating 2x2. I wonder what other failure modes the other intersections could reveal. Have you thought about those other 3 quadrants?
I did the exercise for myself, and here's what I got:
hands-on + task-oriented = micromanager
hands-on + people-oriented = professional office politician (deeply involved, but only to the extent it enables shaping the org chart)
hands-off + task-oriented = scrum master (no technical background that would allow being hands-on, but still very concerned with tasks)
hands-off + people-oriented = HR rep, I guess? Relatively distant from the day-to-day of the team, but still concerned with "people."
On reflection, maybe that last one is a bit of a stretch. But — definitely an interesting thought experiment overall.
David Allen's Making It All Work book has a 2x2 that fits TFAs scenario.
Captain and Commander - appropriate control and perspective, seen as that flow state in FFA chart
Micromanager - has too much control, not enough perspective, work gets out of control because it's being squeezed too hard
Crazymaker - has not enough control, but has lots of perspective. Work doesn't happen because new ideas pop up like fungus covering everything and nobody can iterate on anything because of all the context shifting.
Victim - not enough control or perspective, just responds to crises. Sounds like TFA version of the disengaged manager to me.
The thing is that the control and perspective axes change on the subject matter, so a person can be a Victim in one space and a crazy maker in another and a captain and commander in a third, at least at this point in time.
I think it requires a certain definition of "lazy" that basically translates to "delegate everything you possibly can" - which we all know can be hard work in itself.
Lazy clevers can be very useful in finding ineffeciencies and automating tasks
IME they are the first people to challenge assumptions about the way things are done, and the least happy with the answer "that's just the way we do it"
I would argue any hard working is not clever by definition. But the ones who are otherwise clever but have a blind spot on the hard working part - they are scary. How efficiently and how far they can get into completely wrong and unexpected direction before stopping to think the overall picture can be mindboggling. The hardworking idiots are useful as long as their direction is contained.
Lazy and clever can be very useful; sit around thinking about the potential break-down of a problem into aspects that generalise broadly and those specific to the work being done.
Spend the time that needs to be spent implementing the generalisable aspects, so that the work never needs to be repeated.
Implement the problem specific aspects (with minimal code) against those changes (and if any similar problems come up in the future, the changes can be made in minimal time and with minimal work).
Good managers can adapt the help they provide to the teams they manage.
A team of high-performing engineers needs something different from a manager than a team of low-performing juniors. A team building a new product in a fast-growing startup will have different needs to a maintenance team in a bluechip.
Nonetheless, I do like your thought experiment. It provides a model to think about what might be necessary.
Of these types, I find hands-off and task-oriented to be the most bothersome. I am definitely familiar with do nothing scrum masters, and "project managers" whose idea of management involves setting an arbitrary deadline, then wondering why it isn't met. The others I can work with.
I did the exercise for myself, and here's what I got:
hands-on + task-oriented = micromanager
hands-on + people-oriented = professional office politician (deeply involved, but only to the extent it enables shaping the org chart)
hands-off + task-oriented = scrum master (no technical background that would allow being hands-on, but still very concerned with tasks)
hands-off + people-oriented = HR rep, I guess? Relatively distant from the day-to-day of the team, but still concerned with "people."
On reflection, maybe that last one is a bit of a stretch. But — definitely an interesting thought experiment overall.