Still, it looks like their concern is between faculty and students that faculty member may have some authority/influence over, so even at Princeton I don’t think a faculty member would get in trouble if their longtime spouse enrolled in a course outside that faculty member’s program.
In addition, no faculty member, researcher, graduate student, visiting student, or undergraduate course assistant shall initiate or engage in a romantic or sexual behavior with any student, including a graduate student or DCE student, who is enrolled in a course taught by that individual or otherwise subject to that individual’s academic supervision or evaluation
(emphasis mine)