Yes Lawrence, it would. However, while Granite didn't progress further, as far as we know, the Octopus, Super Octopus and Cleo lineage did progress. Although that lineage didn't have any direct relationship to the Granite lineage. One was a fission device implosion system. The other was a thermonuclear design that could (in theory) use one of several fission primaries. One Granite used Red Beard, another an enlarged Red Beard, another a variant of Indigo Hammer. It's not known what the later more successful Granites used, but it could never be Red Beard. Explanation below in following post.
As far as is known, Octopus was based on a concept of 'Air Lenses'. These are sometimes referred to as 'Flying Plates'. A useful explanation of how this technique works is found at http://nuclearweaponarchive.org/Nwfaq/Nfaq4-1.html#Nfaq4.1.6|Carey Sublette's nuclearweaponarchive FAQs at 4.1.6.2.2.4 Use of these implosion methods permits designers to produce non-spherical implosion systems, i.e. in the shape of a cylinder or a rugby ball. This permits warheads to be squeezed down to fit into an artillery shell, to give one example. Although there is no hard evidence available from the archives to positively link Octopus etc to these concepts. Red Beard is known to have used an early variant of this technique.
Octupus evolved into Cleo, which in turn evolved via the Pampas UGT into a primary for Skybolt, WE.177B & C, a stand-alone fission warhead for WE.177A, and a primary named Jennie for the UK Polaris A3T. This last primary proved to be vulnerable to Soviet exo-atmospheric ABMs, and had to be replaced by a new primary for Chevaline. That vulnerability was the principal reason for the Chevaline programme, which was less an upgrade, rather more a salvage operation to extend Polaris lifespan. The existing Polaris secondary was retained, recycled into Chevaline, with a slight improvement in yield to 225 kt - up from 200 kt.
There were other British designs after Granite. Peanut, Gypsum, and the curiously named Football Pool Bomb. Nothing is known of these still classified files. Only the file titles are declassified.