Yes that's the GSIUR which applies.
Where it says "member of a class of persons" or something it means corgi cos that's the ONLY class recognised.
"Are you also saying we can't renew the thermo-coupling on the boiler unless you're Corgi registered ?"
If its your own boiler you don't have to be Corgi, ony "competent". which is where we got to above.
A thermocouple has to let go within a certain time depending on the appliance. Hands up anyone NOT corgi reg who has come across how long it should be!! A tc's job is to STOP the gas when appropriate, so the fact that the boiler works says nothing.
There was a time when corgi were saying you couldn't replace a pump on a central heating system, which is obviously stupid. Now they "allow" you to change eg a pump on a combi (inside the outer case of the appliance), which goes against the GSIUR. NB corgi have absolutely no authority to decide!. Now they say its ok to do things other than install appliances, or touch gas bits, any safety bits (which covers most) , or flues (inc fans etc). NB the cover of a room sealed combustion chamber is a safety item.
Surveys on whether sales of tc's etc should be restricted have been done - basically the public isn't bothered , and the HSE isn't bothered because not enough people die. It's about 40 a year total, so nothing compared to road deaths, and you can buy and fit your own brake parts etc.