I am not sure how you would find WSM being run as a museum piece. They have a morning show 5:30 to 10 and apparently live DJ's throughout the day. A lot of FM's do the same thing. What is different is the REALLY live program on Friday and Saturday nights, which I will agree is the one historical thing that has kept music on this AM facility all these years. It would be interesting to know how much of their listening is done over digital devices.
Regarding NYC, Audacy ought to consider there is a built-in audience for country music via WNSH that they are throwing away. Maybe not enough saleable audience to warrant an FM signal, but one that is there nonetheless. They have a very decent, unused/underused facility at 660 that could try to retain those listeners, some of whom in the suburbs will have less than an optimal replacement signal-wise on FM. Putting the WNSH 94.7 programming and hosts on 660 will cost them virtually nothing, especially if they had to otherwise throw away DJ contracts with severance pay.
An AM station in the car is a simple thing to access, probably two button pushes. This I would suggest is excellent for getting casual potential listeners to try them out. Setting up Bluetooth or other devices is more work that is an obstacle. If it were not, AM stations would/should be thriving. In the office or at home, tuning in any radio station is easier than using an actual radio - just speak the name to Alexa, and it is in crystal clear sound. To make a WNSH.com work, it would have to be marketed like that - easy Apps or Alexa, with crystal clear sound. AM stations don't market themselves this way currently. Instead they suffer along with the bad reputation, or try to spout off a bunch of translators that may or may not work depending on where you live.
If 660 were to be relegated to sports gambling programming, I can't believe they would get more listeners and quality advertising than a market unique country station would. It will be intersting to see how a sports gambling 850 fares against two FM sports talkers. My bet (no pun intended) is that it will be an afterthought down with 1200 WXKS.