I feel this has not at all been thought through at the microscopic detail level that will be required, on a local scale there are repercussions due to the inconvenience & changes caused from everything from basic government and localized bodies requiring formation to performing simple tasks from Income tax & PAYE, health services and support, Highways, Immigration, Emigration etc etc.
Globally there are far greater issues concerning Oil storage & distribution, which will be top of the agenda, Land & Property values to currency trading to trust of the New Scottish Law, the population will diminish noticeably and that in its own will cause national issues.
As far as Deer stalking is concerned the Deer wont care a hoot either way and the ability to shoot them will remain as it is, give or take, worst case scenario is having to go through the same amount of organisation and paperwork as when hunting abroad. IMO