That is so extremely cool (ha) but boy, that sounds difficult to make reliable through ~100,000 lid open/close cycles. Still, I would love this if it could be made so. I have seen so many horror stories of "I'm using my laptop in my lap on a blanket and blocking all the cooling, why is it so hot?"
Thermal straps exist: https://www.techapps.com/thermal-straps
Used in heavy duty aerospace and industrial applications. 100k lid cycles would be pretty easy.