Become a MacRumors Supporter for $50/year with no ads, ability to filter front page stories, and private forums.
I’m not having this issue at all … 2022 model 3 with 14 pro max on 16.1 beta 5 .. maybe hard reset phone and your vehicle ..
 
Interesting .. well im glad you found a workaround.. here is my set up on my 14 pro max maybe it gets fixed in 16.1 for you

CEE01215-430A-4893-810F-66597349A5BD.jpeg
 
If you play music from your phone through the radio, pause it, go to sounds in Settings and select a tone for text messaging, does it play through the car radio for you?
Ok I did the test and all text tones and alerts come through on the front speaker bar thats between the dash and windshield no other speakers play the alerts for me

edit: I can control the volume by my phones controls as you play the sound
 
Register on MacRumors! This sidebar will go away, and you'll see fewer ads.