You say your engine died ??
I bought mine with 300.000km on it , I know risky business, and I made around 40.000km with it. Previous owner used car only for long distances on highway and was good serviced.
The sound on mine is exactly like his sound IF I take the air filter housing out. All my friends tell me I am crazy but I'm not , I hear something different since about 5000km ago. I sold my Jaguar XF with 100.000km on the clocks because of some fucking annoying engine sound and now this
I have also changed chains recently but no change. However after I swapped injector position something definitely changed. Now I am waiting for 6 new Bosch injectors and I will install them next week together with water pump and all pulleys. Changed also crankshaft pulley and it made also a slight difference in the idle sound. Anyway I am 100% sure the injectors will make a BIG difference.
I got 6 refurbished ones and had them installed and engine sound was TOTALLY different but I had to send them back because 3 of them were out of tolerance (my tolerance) , then I ordered new ones.
Anyway , engine will always sound different on higher mileage cars , that is sure.
The sound we hear , me and you , might also come from the torque converter.... I will go under when I change the water pump and record close to the gearbox bell housing and will try to use also a stethoscope.. I bet 100 other people out there call us crazy and say car is perfect and they will just drive, but since I started hearing this sound it steps on my brain every time I drive the car, no more music , no more talking , the only thing I hear is the engine sound

pisses me off.
So for me is the injectors , water pump and pulleys and then God have mercy , I won't invest more money on it ...I'm already down around 4000 eur.
And I DO HEAR your sound , believe me