Please differentiate between DX'ers who only listen and log and Ham radio operators who actually carry on a two way conversation over the radio. Also, to a previous poster, ham radio licenses are at an all time high.
If that previous poster was me, no, Ham radio licenses in the US were at an all time high 3 years ago. They topped out above 700K or so, and they just started dropping. Look at the numbers over the past 5 years or more.
And any perusal of the ham bands will indicate that many of those licensees are inactive hams. Even 20M is nothing like it was 20 years ago.
A lot of DXers are as much, if not more involved in the radio hobby than hams. Sure, there are some ham contacts that have actual convos. But there's a lot of other ones that are nothing more than a quick contact, especially on FT8. And even on SSB, I've heard countless 'you're 5 and 9, 73' "QSO's", where sometimes a location and exchange of calls is the only thing given. On CW it's usually "5NN 5NN 73 TU dit dit" contacts.
Neither aspect of the radio hobby can claim to be superior to the other one. The thing DX'ers and hams have in common, however, is they obviously love radio, and love seeing how far away they can hear a signal, or contact another signal.
Of course, none of this really matters to the topic of the thread -- whether AM is dying. It's not just AM Radio -- Radio is dying. Longwave and Shortwave went first. AM is following SW. FM will follow AM. Ham radio, which was brought up in this thread, will also probably eventually go the way of the Dodo. Who needs a $1000 ham radio and antenna to contact Australia when you've got a phone?
As a radio fan, I'm not necessarily applauding all that, but it's the reality.
And as BigA frequently says on here -- Radio is a lot of different things. He's right. The definition is changing. There are a few Pandora channels I actually like. I prefer OTA Radio, but there are channels on Pandora (which came with my phone) that have some genres I like to hear, genres that aren't played that much on OTA radio.
Is Pandora "radio"? Probably.