I think there are a number of observations in this discussion that need comment.
LEDs do take less current but it is not as if CanBus and lamp monitoring is new - it has been around commonly for well over a decade - so I would argue that there is no excuse for a caravan manufacturer not to install a compatible light fitting, Even if the tow still had a mechanical towing relay the bulb would in effect be sensed so the trailer with LED lights would still need to pull enough current (not voltage as one contributor said) to make the relay work.
Plug-in LED bulbs with a load inside them are readily available to replace conventional bulbs with or without sensing, so again why cannot the caravan manufacturer fit a compatible unit? Per another comment, if the tow has a manufacturer or equivalent towbar fitted and it is wired into CanBus by a fitted plug then there is nothing at all that can be done to the vehicle to make the sensing work - it is the caravan that must be modified. If however a flash driver (the sort that beeps) has been fitted by the towbar installer (cheap job but very common) then a different unit needs fitting that will sense any current no matter how small drawn by the LED lamps.
Per LED lamps as standard fit (as on my Passat estate) when a LED dies it might go short circuit which will kill the driver chip. If there is only one chip (unlikely) then everything will die, but if there are several driver chips then only a selection of the LEDs will go out. If one LED of several on a caravan fitting failed it is unlikely that the difference would be seen - it would need maybe 10-20% of them to fail to see any real difference.
In respect of the comment that LEDs fail in effect through surge, no. A LED has to have a resistor in series (or a small piece of electronics within the 'bulb' to limit the current) so by definition there will be no surge as such. Add to that that most LED lighting units are strobed - they switch on and off very quickly so that they appear to the human eye to be constantly on - and the surge argument goes out of the window. (If you want to see if your LED car lights are strobed, use your digital camera to take a video of the light working. To ensure your camera can see the strobing get someone in the passenger seat to take a similar video of the smart motorway LED speed limit signs and you will see the red ring going round and round very quickly.)
Of interest strobing is why the earlier LED domestic replacement bulbs cannot be used with dimmers or they will start flashing.
In terms of responsibility, under SoGA the contract is with the dealer, so as long as it is highlighted to the dealer when the order is placed that the caravan lighting must work with CanBus (they probably will have no idea what you are talking about so accept it) then if your new pride and joy does not work it is up to the dealer to resolve the issue. If they refuse to accept your Condition of Supply (as it is known) take your business elsewhere - which may of course concentrate their minds. I suspect that until the DoT or one of the motoring organisations get onto the bandwagon or someone takes a manufacturer to Court after having been themselves been given a ticket nothing will be done.
I wonder: does anyone know if Construction and Use Regulations apply to just the vehicle or to the whole train when a caravan is attached?