As quoted in the article from Presidio Trust board member:
“If it’s your land, you can do pretty much what you want,” Bechtle says. “But with public land, there is just a higher level of scrutiny.”
The trust developed design guidelines for the site. The building could be no higher than 45 feet; as for looks, the trust didn’t want a building that replicated an old-fashioned architectural style...
...in short Lucas proposal didn't meet the guidelines and he didn't want to compromise.
Personally, I think the museum is a fantastic deal and any city would be blessed with the gift -- still hoping SF & Lucas find a mutual agreement (one of which not be exclusive to Lucas items/curation).