Not true. I wrote my own RSS distribution feed for my podcast, codechefs.dev.
Every major service integration (Spotify, iTunes, google Podcast, pocketcasts)
subscribes to an RSS feed. That's how it knows when a new episode is uploaded. Those MP3 assets are not hosted on Spotify, iTunes, etc, I host them on my own s3 bucket distributed with mp3 links in the RSS. I'm sure if your a really big podcaster like Joe Rogan things may be different, but everyone else uses RSS feeds
"Integrated centralized platforms" like anchor.fm etc just publishes an RSS feed to those same services and hosts the mp3s for you on an S3 bucket
Moving away from RSS doesn't solve anything