I've made a schematic overview a few days ago of what I hear in the taxi drivers video first 1.10 sec.
In which the I debunked the "echo theory" for myself. At the 0.45 sec mark where you hear the shots far away first. Now listening to it again I hear even more.
Maybe I sound a little stubborn (or how do you call it in english) but I have to convince myself, I never take any ones word just like that.

But to say it in short. I agree with you!