I see your point, but I disagree to an extent.
Emergency services should probably assume permissions to kick in your front door if necessary to save your life, I'd certainly give that permission if required explicitly.
That said, the real point is that emergency services don't need to be surreptitious, they're also welcome to put a brick, axe or anything they have to hand through my living room window if that serves the same purpose (assuming my front door was too tough to kick in, etc).