I'm now off to read P.M. Knight's
Comet: A Technical History, and so far the first 58 pages are already a goldmine regarding the British tank programme as of 1943-44.
@MarcH You had been looking for months already for an explanation regarding the weird history of the Vickers 75mm HV, and luckily this book contains some info about that.
What is worth knowing is that based on experience with Grants and Shermans, the British had decided to study a Cromwell rearmament with the 75mm M3 or a medium velocity gun capable of shooting US 75mm ammunition for commonality. This is what led Vickers to offer what would become the OQF Mk V. At this point many officers and in particular director of artillery E.M.C Clarke wanted a gun with greater velocity to punch through heavier armor. Vickers was unofficially approached by Sir Robert Micklem (former managing director at Vickers and now in the war office/ministries) to develop a more powerful gun which would combine the HE performance of the 75 with higher hole punching capability to hopefully replace both the 6pdr and the medium velocity 75mm, to fit in the Cromwell.
While medium velocity 75mm ammo was to come entirely from the USA, the HV 75 could use American projectiles but the British would design a new HE projectile and modify US APCBC so they could manufacture HV 75mm rounds in Britain. As such, the choice of caliber most likely was not really for commonality since the ammo would be built locally anyway, but rather because Vickers was already familiar with 75mm projectiles as it had developped the medium velocity 75 first (the mounting was however delayed quite a lot). Initially only 2400 fps muzzle velocity was expected, but then this was 2750 fps in a new gun, 150 fps greater than the US 76 due to the ability to handle greater pressures, and twice the bursting charge weight. Penetration was slightly better. As such it seemed to be a great gun.
Eventually, as you know the story of "the 75 can't fit" would happen because the 75 HV lacked a semi-automatic mechanism and adding it would make it too big, so a new turret and mounting would be designed. At this point the idea of using the US 76mm M1 resurfaced (it had been considered in December 42, but at the time a new turret was not intended and since it did not fit in Cromwell it was not accepted). However, the 76 would have introduced many ergonomic and turret design difficulties that the British did not like (longer rounds so harder to load, poor compatibility with the BESA, sight and crew layout, unbalanced mounting mounted further forward which led to a King Tiger-style narrow front turret, gun can't be removed from the front, worse frontal arc protection).
However, this now led the British to compare the 75 HV with the 17pdr. It was found that the 75 HV had a more sensible and stronger tied jaw breech while the 17pdr had an open jaw breech (google, you will see what they look like). The stronger tied jaw breech meant that even accounting for the difference in raw power, the 75 HV's breech was a more compact and efficient design. Thanks to improved production capacity, the British assessed that they could now design an optimized tank version of the 17pdr which would use this style of breech and relocated mouting lugs for the recoil buffers to fit any optimized tank mounting. Although I can't confirm it, it appears this would inspire the versions of the 17pdr developped for the Sherman Firefly and Centurion. If necessary, the case of the 75 HV would be used to obtain shorter rounds.
In the meantime, it was finally chosen to adapt the 75 HV to use 17pdr projectiles because
manufacturing would be simplified and it could immediately use 17pdr APCR/APDS when these rounds would become available. So there it is.
The first 58 pages of the book also feature interesting other bits on some British projects of the time. For one, since the Aussies had shown a 17pdr turret with a 64" turret ring could technically work, this was briefly studied for mounting on a suitably-modified Cromwell.
We also finally have more details on the so-called straddle-mounted Christie suspension for the A35 (35-ton Comet with heavier armor) and A36 (British Tiger: brand new 70" turret with a 17pdr, A35 hull with extra wheel station and heavier armor). This was actually a Christie suspension with outside supporting brackets: that is, a fully external version of the Christie. This was going to be used on a single skin hull (no more springs between spaced side plates), with no cross tubes to contain the shafts the axle arms were connected to, and which occupied a rather similar space as torsion bars. In turn, this meant the turret basket could be lowered and the overall profile of the tank could be improved. The A36 was quite impressive, as at just 40 tons it would carry 127mm of frontal armor basis, and 80mm-thick sides. Both A35 and A36 would be terminated along with other projects as part of a rationalization effort as a new faction emerged to support a clean sheet vehicle (Centurion) designed around the optimum armament rather than the other way around as done previously.
Personally I think it was a mistake in the end as A36 was already close to clean sheet but was evidently a significantly more weight-efficient design which eliminated the space-eating problem of the original Christie suspension (no cross tubes, external mounting) while retaining its advantages in ride quality.
Covenanter hull showing the cross tubes on the hull floor
Honestly, it is rather unfortunate that the A35-style Christie suspension arrangement was not arrived at from the start or at least much sooner. It would have completely fixed a lot of problems with Cruiser tank space use, would have simplified side armor construction and if done in a similar way as A35, would also be a sturdier design capable of handling more weight. This in turn could possibly have shortened the time necessary to develop reinforced suspensions on Crusader and Cromwell, allowing heavier designs from the start.