1) "WHEN TRAVELLING", yes or maybe.
2) If you are on a rented campsite, you are not travelling.
3) You are on THEIR property and subject to their rules - basically, you are not covered by the 4th Amendment for THEIR searches.
4) Many people fail to realize that Disney is not subject to these laws , as they are a private company and not governmental enforcement.
5) Entering is not "enforcing", so a warrant is not required.
. . . as for "A Warrant Is Needed To Enter":
. . . this is not, and never has been, the law
. . . a warrant is not always necessary to enter a home, a vehicle, or an RV
. . . Law Enforcement can enter, under many legal exceptions
. . . they just can't use anything they find in a court of law to convict without a warrant or Just Cause
6) As I said above,
. . . WDW is not entering under the guise of being Law Enforcement
. . . if they see something wrong or illegal
. . . they can notify the officials
. . . officials can get a warrant, and effect a legal/criminal search (and seizure, if needed)
. . . in such a case, officials enter as Law Enforcement, base upon an WDW affidavit
NOTE1: The argument that a Motor Home is "our home" is not valid in the reference of this posting. It is an RV. Even if you use it year-around as a moveable residence, it is an RV parked on privately-owned property. Privately-owned properties even include campgrounds/campsites that are owned by governments. We have a campground membership, and such is clearly stated in the rulebook.
NOTE2: Compare it to a place of employment: at work, the Constitution of the United States does not apply to employees, and you surrender coverage of almost all of the Bill of Rights and Amendments. (This I know, as I have had to fight it in court several times as a Plant Manager or Managing Director.) The same applies when you rent a campsite or hotel room - you give up many of your Constitutional Rights.