The positive/negative list as best I can type it:
Wireless positive: easy install, no need to run cables,, Easy to move vehicle to vehicle (no need to buy new cables or remove old ones)
Wireless Negative: Need to replace/recharge battery, Subject to RF-interference both from on-channel or adjacent channel other RF devices. or other sources like Fuel Pumps (electric) Ignition systems, Higher power radios, Even receivers on the right frequency can knock it out.. More and more sources every day, Computers, GPS receivers, DVR's (Any type of computer device) even the Engine control computer can cause problems.
And finally Limited range,, Epically if there is a lot of metal in the way (The real rear cap on my motor home is covered with foil covered insulation, the false rear (The one you see) is fiberglass and wood)
Hard wired Advantages: Draw power from vehicle system, no need to replace/recharge internal batteries.. Hard wire is fairly immune to outside interference. Metal walls... Get a drill and sealant (or run around them) Distance limits exceed maximum vehicle length. by more than 100 feet.
Hardware disadvantages.. You have to run the cable, not easy to transfer vehicle to vehicle.
Bottom line... Hard wired better