WKU is fairly close to Nashville and draws some students from that area. I suspect that was part of the thinking of the WKU people in setting this up. In any Kentucky city they would be a higher ratio of UK fans.
When I lived in Nashville, I was unaware of any such support. Support for Vandy, yes, Suport for UT, yes. There was even some support for MTSU, but I never heard anything about WKU.
Well, when I lived in Murray, Ky., the home of the "real
western Kentucky university," we were aware of the recruiting area for both schools, and both MSU and WKU drew some students from the bordering areas of Tennessee, and Nashville was the largest population center in the area.