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It results in lesser flight time for the shot and also increased accuracy.
The counterweights are usually there to allow the turret to rotate, particularly on inclines, so it isn't fighting against the weight of the barrel too much
While i curiously can't find the weight of the tiger 1 cannon, the one of the tiger 2 weighs ~2,2 tons, most of the weight comes from the breech, where the shell is fired from and needs to sustain the most amount of pressure, elongating the barrel wouldn't add much weight to it.
in another comparison, the american 76mm gun M1, found on the shermans and M18, while being a formidable gun to the germans, it only weighed 517kg, decreasing the over all weight of the vehicles and even able to be fit into light tanks
Overall it heavily depends on the situation the tank was put in. Shorter barrels are better for urban combat while longer barrels are better for range. In War Thunder everything gets jumbled together, but in real life you would be able to keep units in an environment they can excel in.
The most it will do it make it a little more accurate
Tiger 1's KwK 36 weighed around 1760kg, remember the barrel would also have to be thickened to withstand the increased pressure, the the bulk of the weight would end up in the recoil system for the gun (as an example, the total gun weight for the KwK 42 came out at 1860kg, despite the barrel and breech being lighter, thanks to the increased recoil needing more damping)
This is why you should take more than basic physics when looking at more advanced concepts.
Depending on the cannon, there is an amount of energy wasted as propellant gasses lack the time necessary to impart all of it into the projectile before it leaves the barrel, leading to high pressure gasses escaping the barrel and potentially the breech, and/or incomplete burning of the propellant by the time the projectile leaves the barrel.
This is why lengthening the barrel of a gun usually increases the velocity of the round (for example, DM53 from a 120mm L/44 reaches 1,670m/s, while the same round from a 120mm L/55 cannon reaches 1,750m/s)
penetration would increase from the increased velocity, how much that makes a difference would be highly dependant on the gun but it usually isn't a huge amount, the L/44 to L/55 example is only an increase of 30mm of penetration from a shell that goes through 620mm of steel already
In World War II, it was not tanks, but anti-tank guns and fortified infantry positions that posed the greatest threat to US troops. Simply because of their numbers. The 75mm was good enough for that. Moreover, the 75mm cannon was pretty effective in destroying Panzer 4s. Later, when the Americans encountered more Tigers and Panthers, they installed larger cannons.