You are correct. 790.115 provides an exception for guns stored in private vehicles in accordance with 790.25(5). See the definition of securely encased in 790.001(17).
Case law re-enforces this exception under state preemption 790.33. See Florida Carry Inc. v UNF.
Any State school that publishes a prohibition against guns locked in vehicles, in accordance with 790.25(5), is in violation of 790.33 and Florida Carry would like to know about it.
Automobile burglaries occur often on university campuses. Secure your gun. Don't leave the hotel parking placard or anything else that indicates that your are traveling from out of town, visible in your vehicle.
790.115
(2)(a) A person shall not possess any firearm, electric weapon or device, destructive device, or other weapon as defined in s. 790.001(13), including a razor blade or box cutter, except as authorized in support of school-sanctioned activities, at a school-sponsored event or on the property of any school, school bus, or school bus stop; however, a person may carry a firearm:
3. In a vehicle pursuant to s. 790.25(5); except that school districts may adopt written and published policies that waive the exception in this subparagraph for purposes of student and campus parking privileges.
http://www.leg.state.fl.us/Statutes/index.cfm?App_mode=Display_Statute&Search_String=&URL=0700-0799/0790/Sections/0790.115.html