I don't think they are saying anything similar at all. Julian Barbour finds a way to get rid of Time completely (by saying every possible state exists and there must be some law that favours states that _seem_ to be related to _apparently_ previous states). Wolfram is more focused on making sense of 'time is change' through the lens of computation.
Books are like candles, an obsolete technology that we will keep around forever because they look nice and they are good in a power cut (or in the bath)
https://news.ycombinator.com/item?id=37354000