Trailer connector adapter

Hi fellow RVers,

I just got a new tow-vehicle and although I requested a round plug it came with a flat plug for my caravan connections. As a solution the dealer supplied a Narva Trailer Connector to change from flat to round plug.

Will it be suitable? It certainly doesn't seem to match the thickness of my auxiliary wire for the 12V fridge in the van. Does anyone have any experience with such a device? I expect it would be more than capable without the complication of the fridge current. Would I be best changing the flat pin connector on the vehicle to a round pin?