Yes! This kind of obsession can be a very smart way the unconscious mind gets around confronting internal difficulties ,fears, challenges etc. Limerence/ Obsession keeps you away from yourself . When I taught high school, this lovely waif of a girl had an obsession with an older boy; she would stand in the doorway of his classes and cry. Eventually , it turned out her step father was abusing her, and she dealt with that in therapy for years. When her real issue was addressed, her obsession with the boy dissipated on its own. That is an extreme example, but obsessing on your T does likely serve some purpose to keep you from puttng all that energy inward.