Are you sure the offending structure is a grouse butt? Or is it a wind-break constructed by Lyke Wake walkers? I noticed that they’d desecrated Lilla Howe in the same way and for the same reasons about ten years ago.
Update 16th. August, 2006 : English Heritage field investigator points out there are no grouse butts in this vicinity, and agrees that the offending structure is a windbreak built by walkers. Decision on what – if anything – can be done is pending.