This is an old, old issue- the Engineering Institutes have been trying to get the profession of engineering the same status as say, the Law or Medical profession, by making the title of Engineer a notifiable one, or by controlling who can can themsleves and 'Engineer' for ages. We had the Chartered thing (administered by a government quango, the Engineering Council), we had the European 'Euring' qualification and lately we've got the 'Engineering Technician' qualifiaction from the Engineering Council, to try and capture those with experience but without an accredited degree who don't want to jump through the (small number) of hoops to get Chartered status.
Sadly, it's a battle that has already been lost- maybe it's the British aversion to earning your money by making things, who knows. I'll sign the petition, as I'm also tired of people thinking an engineer is a plumber or a mechanic, but I doubt if it will make much difference.
For what it's worth, I think making it so that a Chartered Engineer is the only person to be able to themselves Engineer wouldn't be so bad. Going back to the medical comparison, there are 'Nurse Practitioners' who can do many of the things that Junior Doctors and GPs can do - prescribe drugs, for example, but they still aren't doctors. A doctor is someone who has been admitted into one of the Medical Colleges- there's one for GPs, one for Surgeons and so on. Admission is similar to admission to one of the Engineering Institutes: get an acredited medical degree, and then undertake an accredited and assessed training scheme, with competency assesed either by exams, interview or by review. The movement through Junior House man, SHO, Registrar, Consultant is simply a grading structure for hospital doctors, like Engineer, Senior Engineer, Lead engineer and so on.
For those Engineers who have an unusual background- coming up the apprentice route, or like me who don't have an Institution (I'm a Petroleum or a Drilling Engineer, depending upon who I'm talking to), there are alternative routes to membership of an Institution that aren't very onerous: do the Engineering Council exams, or build a body of experience and get assessed at an interview.
However, as I said above, it's far, far too late to get Engineering as a notifiable title, or to get the idea in the public mind that an Engineer is a professional, just like a Doctor, a Lawyer, an Accountant or a Surveyor.