As a controller I know that operators have emergency turn procedures - you're right, I don't know what those procedures are. And to be fair, coming from the UK I haven't worked in some of the terrain challenged environments that exist elsewhere. Similarly, I know that procedures that will be followed OEI or worse may not be as published.
I don't want to have to learn different procedures for different types - even if the operators could get their acts together and agree a procedure that suits all SOPs - because although the pilot may only have to worry about one type, I'll deal with a huge variety of different types on a daily basis. And that's before having to worry about whether it's a -300 or -700 because they do different things!
And then, as you've pointed out some procedures are optional anyway so then I'll have to worry about whether or not the aircraft is starting to do the optional bit but the crew haven't had time to tell me or is it doing the normal thing.
And there will inevitably be situations where the agreed procedure has to be deviated from.
The reality is that if an aircraft/crew have a problem I'll do whatever I can to help. One of those things is to stop you hitting any other aircraft and, if you keep heading for high gound but not climbing, I'll tell you. Then I'll offer whatever information etc. that might help given what I know about the situation and how it's developing.
It's what I'm trained for and paid for.