At the time of writing non-admins are not permitted to open Special:Nuke at all:
There's no strong reason, however, to not allow non-admins to list pages created by a specific user or matching a title pattern. This isn't private information, and they could gather such a list elsewhere (e.g. the page creation log).
With the introduction of additional information to the page list (T370974), however, this would be a useful venue for non-admins to be able to browse data about pages created by a given user. We would simply not give them the ability to actually select or delete those listed pages.