Neutral in their profession of choice, towards any topic pertaining to their specific field.
Maybe I can help, it means to set aside assumptions, presuppositions. Because I am not a Scientist, or in a position of first hand knowledge or experience, it is difficult to say whether it means setting aside a person's whole worldview or lens through which phenomenons are interpreted. Is this possible? Does the naturalist Scientist approach his research of the natural, laying aside his worldview of naturalism open to the possibility of supernaturalism, or does his profession by definition limit the scope of his observations?
Usually, I would say, scientists, or just people in general, enter dilemmas under the worldview of a natural state.
For example, if I am at the grocery store, and another shopper walks into the bathroom, I assume the person is still in the bathroom and wasnt a ghost, or didnt just disappear in thin air (supernatural occurrences).
And so, with science I would say it typically works the same way. When performing research, typically you are solving a question or a problem or dilemma. And so, in general, we enter that research, with assumptions that the solution is something that is a normal understandable and natural solution (the person is probably in the bathroom).
Then, typically we work in teams, so another scientist might say well, maybe the person fell into the toilet and is no longer in the bathroom. Then we test our proposals by simply knocking on the bathroom door. The person inside responds by saying "hold on a minute im using the toilet", and so, we establish that it is feasible to believe that a person is in the bathroom on the toilet.
Science works this same way.
The discussion of if the person truly did fall into the toilet and disappear, or if the person was actually a ghost and disappeared (supernatural solutions), really only enters the equation after the natural solution has been tested, and has failed (knocking on the door or perhaps opening the door and looking inside). And really only after natural or regular every day solutions have been exhausted and have all failed.