I do not believe this is the rule, but rather the exception. I was recommended this AME by a PPL I know.
I remember many years ago I applied for an FAA class 1 in another European country, and that doctor checked things I rather not remember, but he did a proper check up on me.
With regards to this I was just surprised, no eye check, ears, nothing except the ECG rest, which he did not know how to evaluate.
For USA they did not even require extra test for class 1 (FAA), but CAA class 2 required ECG excer., Echocardigram and 24 hour Holte.
I was quite surprised of this difference too.