The response time of the emergency services can only be measured from when they know about something - when they have something (the call) to respond to. The time between any accident and the call being made to the emergency services is an irrelevance when it comes to measuring their response times - as they can't respond to something they don't know about.
Unless you're suggesting that somehow the emergency service should be responding before someone has alerted to the need for a response?
If you think I'm bullying then you can always raise your concerns with the moderators... or simply don't bother engaging with the discussion. Simples!
The overall response time to an incident is from when it occurs until the first responder arrives on scene. The response time of the emergency services is just one part of this. What matters is how long it takes for that first responder to arrive. Although it seems you trying to deny it, by getting the call to the emergency services sooner by use of mobile phone the overall response time will be faster - more so in rural locations where it can be difficult to find a landline, although obviously mobile phone signals play a part.
You also seem to be ignoring the part about the geo-location, where a mobile phone allows the operator to quickly identify where the incident has taken place, thus reducing the response time as you define it.
To summarise - if you were unfortunate to be in an accident - would you want someone nearby with a mobile phone?
As for this discussion - now it is time for me to bow out as I don't think I am articulate enough to explain my thought process to you.