Am I the only one that hates that I can't hear my BASIC cell phone features (text message or email notifications, the clicking sound when typing, etc.) when connected to Bluetooth?

Background:
My iPhone 6 connects to my IS F's Bluetooth automatically when I turn on the car. Calls work through the car's Bluetooth as expected, but I only hear my phone's features when my car's audio is set to Bluetooth. This is a problem since I mostly listen to the radio and no music on my phone through Bluetooth.

Something funny happened today for the first time, though.
I got in my car, the iPhone connected to Bluetooth as usual. I turned off my iPhone's Bluetooth so that I could watch/listen to a video on my phone. (Don't worry, I wasn't driving. I was parking outside of my office.)
I then needed to make a call so turned the phone's Bluetooth back on, re-connected it to the car, AND FOR THE FIRST TIME EVER IT WORKED LIKE I WOULD EXPECT IT TO.
Calls worked through the car's Bluetooth, and the rest of the sounds came out of the phone directly.

Why does this not happen automatically, and how does one make it function that way?

For reference, my dad's RX350 functions in the same, stupid way. So I'm thinking it's a Lexus thing.
And my friend's Mercedes ML350 functions the "CORRECT" way, where calls work through Bluetooth but the rest of the phone's sounds are heard through the phone.