Well, this is an interesting concept.
I don't think the resources expended while mining BTC offer it any more value than it has. Instead, the value comes from the consumer confidence that BTC is worth something. Either through purchasing power, or potential gains from investments/trading. That is why the bitcoin is fragile in its current state, the system is still in its infancy and something could go wrong.
If the BTC was backed by energy and hardware resources, there would be a floor to BTC's value. From what I've learned, there is no such thing presently. BTC has the potential to be worthless, so spent resources offer nothing IMO.