I am not sure if this is an example of a better or a much worse design. However, let us imagine that Vice-Admiral Tsukahara Nishizo had been shocked when appointed head of Naval Air Command on 1st December 1942 and realised that no replacement for the A6M Zero was likely to enter production in the near future and demanded that variants be developed with more powerful engines. Mitsubishi would happily suggest the Kinsei 60 series and that would be a good idea. However, imagine that Tsukahara is suspicious of Mitsubishi's motives and demanded that an A6M variant also be developed powered by Nakajima's Homare 11 whilst utilising as much as possible of the existing production jigs.
At first sight, there are no insuperable problems. The Homare is 1180 mm wide compared to 1150 mm for a Sakae 21 and is longer at 1690 mm compared to 1472 mm for the Sakae 21 but we know that a Kinsei 62 which is wider at 1218 mm and almost as long at 1660 mm fitted into an A6M8.
The obvious problems are caused by the weight and the increased power. The Homare 11 weighed 830 kg compared to 530 kg for the Sakae (the Kinsei 62 is half way at 675 kg). The power will probably need a 4 bladed prop and the Ki-84's 3.1 m disk is similar to the A6M5's 3.05 m 3 bladed disk (extended to 3.15 m for the A6M8).
We could try to solve some of the CoG problems by moving the cockpit back. The pilot of a Zero (or an F4F) sat near the CoG whilst the pilot of a Hayate (or an Fw 190) sat near the rear edge of the wing. Can we simply add a section of fuselage in front of the cockpit increasing the length of the aircraft to that of the Ki-84? We can also add the armour added in the A6M5c or possibly rather more. The longer fuselage may also compensate for the effects of a four blade propeller and the added power. It might allows us to expand the fuselage fuel tank to regain the A6M2's range but will we have to learn a curved approach from the FAA and is that consistent with the IJN's landing light system?
Everything adds weight and then maintaining structural strength adds more weight and a stronger undercarriage adds more weight. The A6M8 actually weighed much the same as the A6M5c as the removal of the 13.2 mm machine gun balanced the heavier engine. Thus for total weight rather than CoG only the extra 155 kg of the Homare counts plus the larger fuel and oil tanks and any extra armour. Will the new empty weight be about that of a Ki-84 (2,660 kg compared to 2,150 kg for a A6M8)?
How large a fuel tank do we need? Since the Ki-84 has the same wing area and the same engine, its 696 litres for 1025 miles at 178 mph or 780 mls at 254 mph gives us some idea. The A6M5 only carried 540 lites of internal fuel but there is a complication. The A6M5's tanks were not self sealing. The A6M6c had self sealing tanks quoted as 610 litres but the A6M6c's range is given as 956 miles at 230mph compared to 1314 miles for the A6M5c (most of the above from
Zero Facts and Figures). It looks as if the extra tankage should have at least 200 litres volume, which requires roughly 200 mm length if it is a cylinder of the same diameter as the engine. That will obviously fit as the Ki-84 is about 0.8 metres longer than the A6M5. 200 litres of aviation fuel would weigh roughly 144 kg which will count when calculating performance.
Our imaginary Vice-Admiral Tsukahara might have a point. More than thirty Gingas powered by the Homare took part in the Marianas battles
https://www.historyofwar.org/Pictures/pictures_USS_Corregidor_CVE58_yokosuka_P1Y.html, so there is no reason that some of this variant cannot take part if no serious problems are encountered.