“The Scottish Gamekeepers Association even warn that: ‘… The over-grazing damage was caused solely by mountain hares.'” https://www.onekind.scot/killing-mountain-hares-is-not-conservation/
The lack of native vegetation can in no way be attributed to (a) plagues of red grouse or (b) regular torching with accelerants.
“Several of the companies which offer the opportunity to kill Scottish hares also offer hunting trips in various African countries, such as Zimbabwe” https://www.onekind.scot/is-one-of-those-hares-named-cecil/
‘Scottish hares’ offered for hunting in Zimbabwe may be in breach of Protected Designation of Origin (PDO) legislation.
“Mountain hares are now routinely culled on a large scale on many grouse moors in Scotland. This practice has developed relatively recently in the belief that it protects red grouse against the tick-borne louping ill virus, despite the lack of scientific evidence to support this claim.” (http://scottishwildlifetrust.org.uk/article/scottish-wildlife-organisations-call-to-ban-mountain-hare-cull/)
Head keeper grouses about hare loss.