I can guess the contents of the above so I’ll save myself the irritation that would likely come from responding to some if it…
For myself, yes I do. At a lowish level (such that when going down hill at speed the wind in my ears is louder), and only with cheapish phones of the non canal variety. The sound of a car is quiet different to most music, music is usually middle and higher pitch, noises with a narrow bandwidth, the cound of a casr, apart from from being much louder than most people realise, is a low pitch almost white noise, with a wide bandwidth. As such the two do not interefear with each other. The headphones I use do not block atmospheric noise. If I don’t hear a car, with or with out headphones its usually because of the wind.
Also vision is my primary sense, and I would not ever assume there’s nothing behind me just because I can’t hear it.