The tyre band concept has been debated several times in the forum. Tyre bands have been available for decades. For some types of wheel and for some applications they may have proven benefits, but there is no evidence base they have offered any benefit for caravanners over the standard rims and tyres fitted by manufactures.
Tyre bands primary claim is they are supposed to prevent the bead of a deflated tyre form dropping into the central valley of a wheel rim. There is little doubt they would do that, but that presupposes the the wheel rim would allow that to happen. Certainly in recent years caravan wheel rims have a ridge formed in rim which does basically the same thing, so a tyre band is not strictly necessary.
The band manufacturers have failed to provide any scientific test results that show there is a real benefit to their product. All of the advertising films and pictures fail to show what would have happened if a band had not been fitted.
I suggest that if these devices had proven to be a real safety advantage, then they would have become a legal requirement rather like seat belts and remote tyre pressure warning systems. Both wheel rim and tyre manufacturers and a large number of after market producers would have made similar products.
In fact RTPWS are demonstrably better than tyre bands, as it catches the early warnings of low tyre pressure. which gives you a better chance of preventing tyre deflation in teh first place.
I will leave you to draw your own conclusions about what that all could mean.
If you decide to fit tyre bands , as far as I know there is no negative effect to safety, but as others have pointed out already it can cause problems when needing a tyre change, as many tyre fitters do not know how to deal with them. Just consider f you are en route to a holiday destination and you need a tyre change, how much more difficult could such a device make the job.
There are some downsides, first of all there's a cost involved, the will reduce your available pay load, and increase the caravans un-sprung mass. If they are not fitted correctly they can slip inside teh wheel and cause it to go out of balance causing quite severe vibrations that can damage the caravan.
On last point, If you are convinced enough to have them fitted to your caravan, then you should also have them fitted to your car. Ask other owner if they have done so and if not why not?
You can assume I see no benefit to fitting tyre bands. but if it make you feel more comfortable then its your choice.