Well I emailed Guest relations and this is the response...
Dear Vanessa,
Thank you for contacting the Walt Disney World Resort.
We would also like to mention that as an exception to our standard policy, guests who have specific
food allergies are welcome to bring their own small snack items with them into the theme parks.
However, picnic baskets, ice chests, and coolers are not permitted.
If you have questions or need further assistance, feel free to contact us.
Please include your full name, E-Mail address, and reservation number if applicable on all
correspondence.
Thank you!
Sincerely,
Peggy Bishop
WDW Online Communications
so according to this, they are not welcoming food into the parks and security is overlooking the cooler issue unless you have glass bottles.