If the car has internet connectivity and an app, then the answer to that question is yes, because that’s how the apps work.
And I very much doubt you can find a manufacturer that promises that they definitely don’t ever access that functionality or data for any reason whatsoever, especially if the cops or a court orders them to.
BT 5 has max bandwidth of 2Mbps, which would in theory be enough for “CD quality”, i.e 44.1khz/16 bit raw uncompressed audio, as that’s around 1.4Mbps. In real life conditions it isn’t. AFAIK aptX lossless gets close by doing some compression.
But if you go full audiophile levels and start demanding lossless 192khz 24 bit audio, that’s 10Mbps and not even remotely possible over BT no matter what you’d try.