What do you mean by "natively magnify"?
But this...
...is indeed precisely the point - what magnification or magnification range a lens is optimized for.
For example, from Rodenstock's product literature:
"The image quality of lenses designed for larger distances or even optimized for infinity drops visibly at close range for scales of around 1:1. Compared with the performance of a modern top lens at medium to long distances, there are noticeable shortcomings from around 1:3 onwards. This is precisely where the special Macro-Sironar-N comes into its own...."
On the other hand, some process lenses are designed to handle very different magnifications relatively gracefully:
"Though ideally corrected for 1:1 reproduction, the four-element Apo-Ronar maintains its image quality even at high reductions (distance range) or magnifications."
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