Ironically, the one time (Falklands) the ROUND TABLE class were used in anger, the terrain was unsuitable for them to beach.
Conceptually, they were more similar to AKAs than to LSTs; the beaching capability was intended to give them flexibility in loading and unloading. Without wishing to sound facetious, the designation of Landing Ship, Logistics wasn't made idly. Their small size was a deliberate choice so that they could operate in confined waters, and they were quite a bit larger than LSTs.
It's hard to see additional assault ships similar to FEARLESS being suitable in their role. However, their eventual replacements - the BAY class 'LSD's, which are really LKDs - are of similar size to an assault ship or USN attack transport. So, let's assume that the RN goes for four ships of roughly the same size and configuration as the contemporary CHARLESTON class. Small dock aft to handle a single LCU Mk 9, additional landing craft carried on deck, permanent flight deck but no hangar.
Such ships would actually be better suited for RN operations East of Suez, and could work comfortably with the FEARLESS class assault ships and BULWARK class commando carriers. How unfortunate that the role disappeared....
In the Falklands, they'd be quite useful. Assuming that the ATLANTIC CONVEYOR is still hit, one ship (being larger) is detailed to ferry the Guards regiments to Bluff Cove. With a single, bigger target, at least five bombs hit, and the unfortunate assault logistic transport will probably go the way of SIR GALAHAD, causing severe loss of life - probably worse than OTL, given the concentration of personnel and damage.
It's likely that a replacement is ordered, and that all four ships are kept rather than OTL's drawdown from six to four LSLs, being replaced in the mid-2000s by BAY class ships.