Well you cannot be 100% sure because gearboxes have been modified over the years (the later bigger synchro rings last longer and work better then the originals) but yes youre right the KD should have the smaller rings the same as in the kit.
The rings are common to various Triumph (and other makes) models with the small ones being used in all Heralds, Spitfire 1, 2, 3, Vitesse 1 & 2 and GT6 1, 2, 2+ while the larger were in GT6 III, Spitfire IV & 1500 (single rail) plus other models....