Actually, it seems to me (not an attorney) that this is the type of issue that first goes to mediation, if it moves at all. If mediation doesn't work, litigation follows. Clearly, a value to the name "Star" has been established. If there was no value to the name, why would Townsquare latch on to it, especially as quickly as it did.
Now... what's the monetary value of the name "Star?" Can that be quantified? Most likely, yes.
As an avid observer of issues like this over the years (remember when battles between competitors years ago sometimes clashed and went to court over the use of "Z", "Q", "Hot", "Magic", "Wild," as well as slogans, etc.)
There may be no case law immediately associated with this issue as it applies to radio, but very likely there is case law associated with other products and businesses which by extension, can establish precedent and be applied to this situation.
An important variable here, that Audacy willingly discontinued ("abandoned") the use of Star in Buffalo, (1) on the air as well as, (2) on its stream. The abandonment was short lived, and Audacy decided to resume using the Star name on its stream. But the fact is, Audacy did abandon the name.
It's not difficult to see a mediator finding that Audacy, by willingly abandoning the use of the Star mark, has released its claim to the name, but to what extent? OTA only? OTA and Internet stream? Is there any delineation between Townsquare's right to use Star on the air vs. Audacy also using Star on a web stream.
Here we go with the ongoing debate of what radio is these days. Is it solely towers and transmitters, or is it OTA and on-line/streaming?
Funny, isn't it ... while some people were playing Boston and Led Zeppelin, or Madonna and Tears For Fears, others were sitting in classes or libraries at a law schools, studying and researching the law for three years. They then sat for a 16 hour Bar exam over two days.