John,
I'd be interested to know which airlines tell ATC about their procedures... In my time in ATC (albeit some years ago) at an airport with obstacle difficulties (and therefore where several operators had ETs) we knew of none of them. In my time since, in management at several operators, we have never told ATC about our ETs, EOSIDs, etc.
Guppy, you wrote
there's a special turn procedure published
. The perceived problem is that it's not 'published', so ATC don't know what you'll do. Hence the 'Pan pan, climbing ahead for two miles, then turning left tracking 150 degrees, stand by' and the like heard so often at the instrutor's panel...