Sorry to hear about your bad news Sandsy.Too close to home for me.Our part of Scotland has had it relatively quiet regards car theft over the years .But i think we are now seen as fair game for the Edinburgh/Glasgow bad boys.Been a few recently in Grangemouth (M140i,CLA45 AMG).Even took a minter Mk2 Focus RS off the forecourt at Arnold Clark Merc Grangemouth.
I don't think your car being keyless would have made any difference with them breaking into your house.The relay method has still to take off up here.Most are still being done by burglary/theft of keys.
Know what you mean about lack of options on most GTI's.Most folk just order them with the (already standard) big spec.
Garaging is definitely the way forward.
Hope you get it all sorted out soon.Get yourself an R and tuck it away at night.Do not let the swines win!.