NG's responsibilty officially ends at the ECV these days. They are not allowed to fix appliances, indeed it is not their fault that you had a faulty appliance and it will not relight.
If they find a dangerous fault or a gas leak on your side of the property they will 'make safe' and leave you to call in your own corgi to fix the fault.
Most people are grateful that their home has indeed been 'made safe'.
When was your boiler last serviced? As you appear to have to call in an 'emergency corgi' then it does not sound as if you have a regular corgi who services your appliance every year and would check things like the ignition.
I suggest getting someone in to service it and asking them to fix it at the same time
If they find a dangerous fault or a gas leak on your side of the property they will 'make safe' and leave you to call in your own corgi to fix the fault.
Most people are grateful that their home has indeed been 'made safe'.
When was your boiler last serviced? As you appear to have to call in an 'emergency corgi' then it does not sound as if you have a regular corgi who services your appliance every year and would check things like the ignition.
I suggest getting someone in to service it and asking them to fix it at the same time