I don't think a controller needs to know either limit. It's up to the pilots to apply the limitations of their airframe to the operation of said airframe. ATC should advertise the winds that exist when they cut the ATIS and that exist when they give a landing clearance.

Now, if ATC is being pressured into lying in some way to the pilots about the winds, that's a different issue. And it's an issue that should be given a great amount of attention.