Earlier quoted context omitted.
I agree with the parent. When there is confusion like this, switch to open ended: "OK, we both agree there appears to be a problem with the transmission. How do you propose we investigate?" From the dialog it appears you were two steps ahead of the person and what he really needed was time to think it through. Asking the open ended question gives him space to think.
Interesting example... You propose I use an open ended question, where the discussion could easily go sideways, when I clearly stated: "In this case is my subordinate." "I already had asked him to do the measurement. My question started more to be sure he actually is going to do it." I do not see how an open question would help here. Nice example of communication going wrong here...
It makes sense to give a subordinate a directive. That he is a subordinate, however, doesn't mean a direct question will lead to effective communication.
I've worked with both types of managers - the ones that ask direct, pointed questions and the ones that ask open ended ones. I think the latter are more effective, but it really depends on the role (you don't want open ended discussions in emergencies).
For me, though, "We have problem X. What are the options for resolving it?" has a better chance at success than "We have a problem X. Can you look into Y?"