The real question here is not, should emergency services be available if there is any doubt as to an aircraft or it's passengers safety. The simple answer to that is yes, of course they should be available.
The question is, who is best placed to make that decision?
Although I understand where you're coming from, unfortunately, you don't have the power to decide who can make that decision .
The rules make that decision. I don't remember the exact words, but in the ATS documents ,it's along the lines of ....ANYONE becoming aware of a situation blah blah blah ....must blah, blah, blah.
Until you have that responsibility removed/amended/better defined ... you will have to live with it... and I daresay, in order to protect their arses, Controllers will continue to err on the side of safety.
Put yourself in the shoes of that "sprog".
Will I do nothing and trust that the pilot is 100% aware of the full implications of his situation?
Or, will I call out the troops ... just in case he's got it wrong ... or doesn't have the full picture?
Which scenario will keep me out of jail?