Maybe, but more likely they will read the records from today (we are much better at archiving) and wish they could find someone to sponsor them to do the same. They will of course criticize something - that with some discovery we don't yet have - they know was done wrong.
I am sure you're probably right on the last part. And that would be in very poor taste considering that one of the aim of Guedelon is to act as a research project and validate hypotheses.
They won't be able to read the records due to physical bit rot of any public archives making it through the narrow path to the future, and of course the absence of most material behind paywalls that won't be in any public archives that substantially survive. They'll get more from acid-free paper archives under mountains than anything digital I expect.
