The STA holder does have to address interference complaints. Class A (formerly I-B) WFME 1560 New York had an STA for 10 KW (ND unlimited, different location) and got a complaint not from a licensed station. They reduced the power to 2.5 KW for certain hours, mostly daytime,, not related to sunrise or sunset.
To recap, a few years ago WFME sold their regular transmitter site, similarly to KDWN's in a warehouse district (for $51M), and are now seeking a new site, most likely to be a diplexing arrangement. The way they were allocated, Class B formerly II-As such as KDWN originally had patterns comparable to and reached areas comparably to I-Bs. The differences were that II-As did not receive protection from the co-channel whcih was a class I (class A) and Class II-As did not have protectable skywave contours.
Adding to the complexity and cost of building any new facilities is the need to address address unforeseen and sometimes peculiar interference complaints. Often it takes the form of visiting the complainant and installing measures to alleviate the interference. Correction might also involve revising the coverage pattern, usually reducing coverage and/or power.