Depends on how the input impedance is obtained. While it is generally true that the the lower the figure the lower the noise due to resistor value, there are techniques to (namely "botstraping") where low value resistors can be made to appear to the signal source to have a high impedance.
At the same time a higher impedance at the input may improve the performance of the signal source to some degree. This depends on the capabilities of the source.
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