No. It's only in the case of a reduction. The rule would not kick in in the case of an increase of administrative burden in the U.S. I would point out that the U.S. has just instituted a two-for-one, so it's unlikely that we'll see any increases in burden that would impact Canadian businesses as a result, since they are also undertaking an exercise to reduce burden on business.
The rule would only apply in the case of a cost reduction, not a cost increase.