For most of it, I would have thought. Leysdown is an extreme environment in many respects Darren, and is not hugely representative of the rest of Sheppey, let alone Kent, especially in terms of snow.
Actually, having lived here for 34 years now - it is representative of the rest of Sheppey. I live half a mile inland from the sea and if it generally doesn't snow here it doesn't snow anywhere on Sheppey. The only difference is that the hills to the west (all of 200ft high) get a wee bit more snow when it actually does decide to snow!
We certainly didn't have any problems getting snow before 1998, but as I've said before something's changed since then to stop us getting deep cold easterlies. Nobody would like to see the end of the drought more than me, believe me... Sheppey and the north Kent coast in general was well-known for its silly amounts of snow in the late 70s to the mid 90s, although that snow affected all areas westwards towards the North Downs.
From what I can glean of the longer term outlook (largely thanks to IF's posts about ECM and GLOSEA), it looks like the February cool-down, assuming it happens, will come via northerly and NW'ly winds - useless for here, frankly, but should bring some cheer for those further north and west. There doesn't seem to be any sign at all of a deep cold easterly spell, sadly.