The British were willing to compromise armament (the bombs) and fuel load to get the guns/ammo they wanted in an existing design.
Without that compromise what would have been the result?
A compromise of less performance?
A delay while a new aircraft/engine was worked on to give the desired performance with the desired weapons load?
A compromise that saw, air ministry officials cringing in horror, fighters equipped with something other than fixed pitch propellers
I think the Air Ministry had to compromise. Aircraft design was moving very fast in the mid 1930s and there were several specifications which needed somehow bringing together. The distinction between 'zone' and 'interceptor' fighters was becoming blurred, which had a fundamental impact on the endurance required of what would become the Spitfire and Hurricane) and the never ending quest for both firepower and speed was also leading to compromise. When they went to eight guns they also reduced the ammunition requirement per gun from 500 to 300 rounds.
It is worth mentioning that as early as April/May 1935, when the idea of eight guns, all in the wings, was being discussed, Hawker was quite keen to do away with the fuselage guns as the company was worried about making them work with the '3-balded VP airscrew' which they proposed to use.
Given the discussions around both the Hawker and Supermarine fighters, and at Rolls Royce and Bristol, about variable pitch propellers (or sometimes controllable pitch in the language of the day) the fact that Fighter Command's two principle fighters did not get a proper CSU until 1940 is a 'just in time' that did not need to be such.
Cheers
Steve