I don't mean to start a controversy and I don't want to be an "audio snob". This is gonna be challenging because I realize not everyone HAS or wants to spend money on a "reasonaable"-quality external DAC and and wired headphones. The tube headphone amp pictured below is from Woo Audio. Also pictured are two headphone amps from Burson Audio. The DACs are from Oppo and DacMagic. Wired headphones are from Grado, Sennheiser, and AKG. Wireless headphones are Sony and Soundcore. I don't purport that this is "high-end" but its closer to "Mid-Fi" and it sounds good and reasonably accurate to me.
I have a AudioQuest Dragonfly Red (external USB DAC ~$200) which is said to sound "good" by some reviewers. With my decent-quality CANS it sounds like poo next to the Bursons, Woo, and Oppo. Poo. The clarity is markedly decreased (for these headphones). My iPhone 14 PM can't properly drive my wired headphones. They all lack bass coming directly out of the iPhone. This is why the external DAC and headphone amps were necessary FOR ME.
All that to say this: Apple Music sounds better to ME via the above-noted DACs and wired headphones than it does through my girl's Airpod Max's or my Sony WH-1000xm3 or Soundcore wireless headsets (hey, I need SOMETHING for the gym and long runs).
Clarity. Detail. Bass.
Most (not all) wireless cans pump up the bass so much that you'd have to use an EQ to try to correct it (and most people don't). It can be fun, sometimes, but it is not accurate and can be fatiguing. This doesn't even mention clarity and detail which the wireless CANs I've listened to never seem to get right.
You don't, in my opinion, have to be an audiophile to appreciate accurate audio.
Now, most aren't gonna spend $1000+ pursuing accurate audio. ...but some might spend $500-$600. ...which is why I mentioned the AudioQuest DragonFly Cobalt. Airpod Max headphones (or less) are not what you get when you're seeking accurate audio. They're what you seek when convenience and budget are the priority. They're noise canceling (great) bass heavy-ish (fun) well-constructed cans.
I am an audio enthusiast but not an audio snob.
You've read in posts above that wireless headphones are your best choice for Apple Music. I disagree. ...but only because accuracy is my pursuit. Believe it or not, you can spend almost $20K just on headphones pursuing "accuracy". You can spend more on DACs, pursuing accuracy. To me, that's crazy but <$1000 is not. Most aren't gonna spend that or anything close.
What are your priorities?
An audio enthusiast's perspective.