Face reality: when you've been on ice long enough that your friends and immediate family are dead, nobody wants you anymore. You will never be defrosted, and if you're lucky at some point your remains will be given a burial. It's more likely you'll be unceremoniously cremated like medical waste.
What are you saying - the lives of ordinary people are the holy grail in archaeology and history as they are more difficult to investigate and construct. A king's remains and belongings tell you little about the actual society.
(You're probably familiar with the book Montaillou? For passersby, it's a neat insight into the minds of ordinary people from hundreds of years ago.)
A king would know about his society as much as how much do the Ivy League educated, WASP US presidents would know about the actual US society.