Disney owns NONE of the surrounding properties. Disney has to disclose to the city what it owns, and it has been clear, they own no properties in the Resort area through holding groups, etc.
Disney does have ownership of some condos on Walnut Street for relocation use, but not enough to be a major influence in the large project.
There are 2 pieces of land that Disney owns, the former K-Lot property, which is zoned as build by right as part of the DRSP. So they can do almost anything on that property.
The Former Strawberry Fields is still zoned for Farming. The city did place a temporary use permit for parking lot use, but that expires soon, and will have to go through the Planning Commission process again. So basically, can't do anything without the permission of the city.
See pages 3-3 and 3-5 of the link below.