If you were to do a slug-in test where you put in a known volume of water, would there be a point where, say if the formation was extremely permeable, the permeability of the screen itself would be measured?
High permeability (K) values for rock /sediment would be 1x10+2 to 1x10+5 (darcy) The table below shows permeability values for sand/gravel packs placed around the well screen. Well Screen itself would have even higher K values.
I would say, that well screen itself (not including the sand and gravel pack around the well screen) will not limit the results of slut test results.
Essentially, for the well screen to limit slug test results, you need to place the well into a large cave or min void and the use a very large slug volume if you hope to measure the screen itself.
Note: Permeability values can approach very large values in limestone with caves.
Note: my answer assumes that the well construction materials and methods are known that were used to install the well being tested. I am also assuming the well has a manufactured well screen not a piece of pipe with 3 hack saw cuts to allow water to flow. Not knowing the well configuration, can reduce the accuracy of slug test results.