Do you mean: “is the Comet a Cromwell with a 17-pounder?” (I ask because I didn’t quite understand the question
) The answer to that is “essentially, yes.” The Comet is a development of the Cromwell with different (wider) wheels and track (plus return rollers added), a new turret with the 77-mm gun and assorted minor changes.
The 77-mm gun was a development of the 17-pounder to shorten its cartridge case so it would be easier to fit the gun inside a turret, and to handle the ammunition inside a vehicle. The projectiles were exactly the same, but the cases shorter and (off the top of my head) fatter, with less propellant. As a result, it was less powerful but that actually benefitted the weapon, it turned out. The name was changed to prevent confusion and the wrong ammo being delivered to units.

The 77-mm gun was a development of the 17-pounder to shorten its cartridge case so it would be easier to fit the gun inside a turret, and to handle the ammunition inside a vehicle. The projectiles were exactly the same, but the cases shorter and (off the top of my head) fatter, with less propellant. As a result, it was less powerful but that actually benefitted the weapon, it turned out. The name was changed to prevent confusion and the wrong ammo being delivered to units.
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