Thirties,
From the Rock Island Arsenal 1911 blueprints dated up to 1975,
part number 6008599, firing pin, the overall length is 2.296" -.006".
It is easy to check the alignment of the firing pin hole to a cartridge by inserting a primerless empty casing into battery with the firing pin removed.
Carefully look down the barrel of the pistol.
The firing pin hole is smaller than the primer hole in the brass.
Any error in alignment will be readily seen.
There is a gauge tool which fits into the chamber with a pin extending towards the firing pin hole to verify alignnment.
Pistol smiths have the option of plugging and relocating the firing pin port or moving the barrel up or down to correct the alignment.
As far as the impact upon the accuracy of a pistol with the mis-alignment shown with your casings, I could not say.
I'm confident it didn't leave the Colt factory like that.
I'd more likely believe the barrel was refit or replaced with no regard for the firing pin alignment.
Personally, I'd fix it or have it fixed.