First, minor correction: it's ".30-06", not ".30-.06".
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Second, the 7.92x57mm cartridge itself would not have been affected much by Mr Hitler, being older than he was by about a year, if Wikipedia is to be trusted. The new standard load from 1942 may have been, though the fact that similar switches to heavier bullets at lower velocities for better long range ballistics happened at least in the US as well (1906 to M1 ball in the .30-06, for example) speaks against that.
That said, I frankly don't know how the potential of the 7.92x57mm compares to that of the .30-06. The diameters of the bullets are too close to make much of a difference for terminal ballistics -- at most, it's .323" vs. .308". In modern commercial loadings the potential of the .30-06 seems much better utilized -- there's no end of higher pressure loads for it, many getting to over 3500ft-lbs of KE at the muzzle. However, the average loadings for the two calibers are pretty close to each other for KE, with the 7.92x57mm tending towards slightly heavier bullets at slightly lower velocities -- in the Guns & Ammo I am currently perusing, the average .30-06 load is 165gr bullet @ 2800fps (2873ft-lbs) or 180gr @ 2700fps (2914ft-lbs), while the average 7.92x57mm is 198gr @ 2550fps (2860ft-lbs).
For commercial loads, then, I'd suggest making them roughly equal for everything. However, if the most common form of ammunition is military FMJ/ball ammo, let's look closer at the 7.92x57mm load from 1942 and the .30-06 M2 ball from 1940. There you've got a 196gr bullet at 2477fps (2670ft-lbs) for the German round, 150gr at 2740fps (2501ft-lbs) for the US one. Still a very small difference and not one that's easy to put in terms of increased injuries to humans, but if you wanted to that would excuse a slightly higher average damage for the 7.92x57mm -- e.g. to the tune of 33-41 vs. 30-40. For penetration of armor, these two loads are as close as makes no difference.
Barrel length should matter as much as caliber here, I think -- all of the above figures are for the ~600mm barrels of a Kar98k and an M1 Garand. An FG42 with its 502mm barrel will get at least around 80fps less velocity at the muzzle than a Kar98k, which could certainly be translated to a slightly lower damage. The MG42 seems to also have a shorter barrel than a Kar98k, so you could shave off a point of damage at the lower end for that as well. That might make close range combat ever-so-slightly more survivable as well -- from my own Fallout 2 editing, I know a 10-round burst from a weapon doing 12-26 is quite enough to rip most characters limb-from-limb, so I dread to think what an even bigger burst (as the 1200+rpm MG42 is likely to get) from a weapon averaging over 30 damage will do. One thing's for sure: you won't need to fear the aliens in the mines anymore.