We all know the reality of the situation. This idea that the word "imagine" somehow frames the question in a different light is nonsense.
My first response would be "Ok, so you're asking me what my job priorities are" and go from there. Let's bring things back to reality, and be honest about what each other is doing.
Also, the question is a classic rehearsal question and its use may be limited. There may be a lack of honesty and even with an honest answer a person's priorities are subject to change.
I think the 'imagine' asks for an insincere and interviewer pleasing answer.
The way to get a real answer is to ask about a real situation.
Have you ever had two job offers to consider? What were they? What was interesting about each of them? Which did you pick? After you worked there how did it go? Would you evaluate them differently based on your experience of how it worked out.
Get real detail about real situations and it is much harder to fake. At least that is what they taught us at 'big company' that I last worked at.
My first response would be "Ok, so you're asking me what my job priorities are" and go from there. Let's bring things back to reality, and be honest about what each other is doing.
Also, the question is a classic rehearsal question and its use may be limited. There may be a lack of honesty and even with an honest answer a person's priorities are subject to change.