Does the NASA doc refer to wire-wrap wire as being silver plated? Its best not to mix standards, the NASA stuff is build around a whole internal eco-system of standards and processes which will have been validated. 90% of the limitations they apply to practices that would be perfectly normal outside of NASA are probably just to avoid unnecessary paperwork in process validation and raising concessions against rework jobs.
With the previous in mind, I would imagine the use of tin-lead plated wires is to prevent contamination of a pre-made solder joint with another metal, not that adding a little silver to one of the joints would be a bad thing per say, it would just invalidate the process validation for the soldering job that's already been done.
The further annoyance is that they're probably just using the term wire-wrap wire to suggest the typical kind of wire gauge, possibly something to do with purity and hardness... that NASA doc doesn't state insulation requirements does it? So it may not be TFE... and consider the heritage of these standards, its probably referring to a wire standard that was much more common back then and its simply easier for them to have batches of it custom made to their own spec than rework the standard to not only include a common 'modern' equivalent but also still apply to all pre-existing work done to said standard. (I've never heard it said NASA were cost-conscious!)