Interesting subthread on genetics...
The GFD is presumeably bred to live on the rocky outcrops of Dartmoor, where it would rapidly wear its hoof down, so needs hoof that grows quickly.
For the breed to survive, it needs lowland keepers to breed it, but that gives problems with the rate of horn production on this softer ground.
So it may be, as SH suggests, that the breed should be 'improved' by adding a little Romney (or, if it's for good feet, it would feel nicer to use the Exmoor Horn, which is more local to the GFD and famously has tremendous feet - Exmoor isn't rocky, it's wet and boggy / heathery, so I don't think the horn growth would be a factor in this breed.) Reducing the horn growth would help the breed suit more smallholder and even semi-commercial breeders - but would mean that it no longer suits its native environment... and, those unsullied native genes for faster horn growth would be diluted... which, should we ever need to source genes for fast horn growth, we may regret...

Which is why I am a fan of crossbreeds. If good crosses can be identified, which will sell and perform well, I think that helps the pure breed, as it is needed to be one half of the crossbreed, meaning that breeders have more outlets for their purebred ewe lambs, without diluting or eroding the important genotype. (Sorry for overlong sentence, hope it makes some sense.)
There would be very few Blue-faced Leicesters about these days were it not for the popularity and value of the Mule ewe he fathers. And the Swale is one of the most prevalent hill sheep, certainly in these parts - and her only real use is to graze the Fells while producing either her own replacement or, in her later years, the valuable Mule ewe lamb. And the Whitebred Shorthorn exists almost entirely to father the still very popular and valuable Blue Grey cow out of a Galloway... I could go on...

So if I had GFDs I would certainly experiment with crossing with Romneys and/or Exmoors - but I would most certainly
not then backcross to infiltrate the pure breed, I would look at marketing the cross.