Wow, worked all day to not get replaced by AI myself one day, come back to this thread and it's two pages long! Anywho, to answer your question: I don't know and I think the talking heads in Washington don't either. The tech is too new and doesn't really fit into any of the current legislation around IP. The way I see it for the music industry, it's a tool so still the creator/user owns the copyright, as long as he/she uses the tool in accordance with the terms and conditions and the said terms and conditions grants those rights to the creator/user. For example, if you use 'AI Music Tool A' and that tool says that if you pay $XXX per month for a subscription, you own the songs you create with that tool during the time you have a valid subscription, then that's it. It's no different than someone buying/licensing Logic Pro. When I was still actively making music as a songwriter and producer many moons ago, I used pre-loaded midi loops. Sure, I modified them, changed notes here and there, adjusted the key to make it fit the singer, etc. But, it was always "mine". Now, if I was to use a specific AI tool, I would see it as the next generation of DAWs. I am still the "creative mind" behind the song because I'm instructing the AI tool. I tell it what I want to hear. I tell it if I want any changes and what the changes should sound like. While I don't push the buttons to make it happen, I still think I'm the "creative" mind behind it. "Creative" is being used very liberally here of course.
In my case, one of the businesses I own, we create custom songs for special occasions (I won't disclose the name as I don't want to appear as if I'm advertising lol) like anniversaries, weddings, etc. I even had a fellow Comanche pilot use our service to write a song about their trip to Oshkosh last year. They had no idea I was behind that business but I sent them an email when my staff told me that they're working on a song for a Comanche pilot lol. We give clients the option to choose between AI generated songs or musician generated songs. The AI generated songs are based off of the 1,000s of songs we created previously by hand so I would say it's safe that we own the work of those for sure.
Lastly, you asked about if you get airplay or e-play. Honestly, nobody will care from a $$$ standpoint even if you don't technically own the IP unless the IP is owned by a major label artist and could be brand damaging. If you just create a song with an AI tool, even if they don't grant you ownership of it because it's part of their T&Cs or you don't pay for the service or whatever, if you get a million streams with that song, you'd earn about $4,000. Getting a million streams is nearly impossible unless you actually have a brand and put serious $$$ (certainly more than $4k) behind building that brand. But let's say, you luck out and get a million streams, suing you for $4,000 is hardly worth it for the offended party. Plus, they probably would never find out anyways if their tool cranks out a large volume of songs.
For artists, the money is in touring, merchandize, brand deals, etc. If that random AI generated song turns you into the next Justin Timberlake, you may have to answer some questions. But, chances this would happen is LOW for someone in the music industry actually trying. It's non-existent for anyone just fooling around on an AI tool and creating a song.