Cavity wall insulation

Hi, new here, hope I am asking in right place, a query on CWI, we had it installed about 14 years ago (fibre stuff not EPS)- then our house was a 3 bedroom semi with garage attached. They installed it in front and back elevations and I thought the gable end where the garage is attached. We Subsequently extended over the garage. Now it looks like (had a look with a borascope) there is no insulation in what was the gable wall and is now the wall between our stairs and garage and stairs and bedroon at first floor. Our stairs/hall is colder than rest of house- I am wondering if installing CWI in this instance would make a difference? It would effectivley have to be installed from the loft I am guessing and from the garage. thanks for your thoughts.