Oh my goodness. Screwing cupboards through aerogel would be horrendous.
Just in case it's of interest, here is a picture of my first experiment. Approx 6 or 7 years ago. I had plenty of room here.
Spare room, the external wall behind the wardrobe used to get black mould. Had to keep bleaching it clean. Furniture was all 8" off the wall for circulation. And it made the house soooo cold. In the end we just closed the door and let it all go mouldy till the spring.
The plaster was in good condition so after bleaching it clean and scraping any loose paint off I instasticked 100mm of foil backed insulation board to the wall and meticulously sealed all joints, damage and the edges with foil tape to ensure no warm air could reach the cold wall behind. Then I stuck the plasterboard up, dry lined, painted and put the old skirting board back on.
The difference is miraculous. We don't heat the room unless guests are there, but we leave the door open now. No draw of cold/warm air at all and probably never goes below 13° in there I should think. No mould, no smelly clothes, no musty mattress.
And as you can see from the photo, you wouldn't know to look at it.