Apple has an updated chart showing how the new $4.99/month plan differs from a regular Apple Music plan:
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From reading the press release, it seems that the Music app will offer a stripped-down experience for these users:
Apple Music Voice Plan subscribers will get a customized in-app experience with suggestions based on the listener’s music preferences and a queue of recently played music through Siri. Within the app there will also be a dedicated section called “Just Ask Siri” where subscribers can learn tips to optimize Siri for Apple Music.