IIRC the issue people care about most with the theatrical Blu-rays is slightly lower detail that the EE's, but I'm not sure it's at all clear that projection prints like these would provide noticeably more detail--perhaps even less. People certainly complain plenty about the colors on FOTR:EE, but I'm not sure these would provide any more help for correcting that than the existing home video transfers (EE DVD or theatrical BD).

In a perfect world with infinite time and money, I'd say go for it, but I'm inclined to say we should save our time and money for other projects where film prints fill a more pressing need. I'm sure there will be differing opinions ;)